Chasing 145, the visitors were briefly rattled at 22/2 before Hermann and Van der Dussen stitched together a game-defining 106-run stand.
David Miller and Rassie van der Dussen smashed blistering half-centuries to lead South Africa to a thrilling seven-wicket win over India in the first Twenty20 International in Delhi on Thursday.
Images from the ICC World Cup match between Afghanistan vs South Africa, in Ahmedabad, on Friday.
Rassie van der Dussen scored a classy century as South Africa secured a 62-run victory in sweltering heat in the first one day international to spoil England all-rounder Ben Stokes' farewell party at Chester-le-Street on Tuesday.
South Africa have recalled top-order batsmen Faf du Plessis and Rassie van der Dussen for their three-match One-Day International tour of India later this month, while left-arm spinner George Linde is named in the squad for the first time. The squad will be captained by Quinton de Kock and play the first ODI in Dharamsala in March 12.
Top-order batter Rassie van der Dussen will lead South Africa during next month's Twenty20 tri-series with New Zealand and hosts Zimbabwe, with four uncapped players in the squad, Cricket South Africa said on Thursday.
The Proteas will now face the Group A runners-up in the semifinals, with India and New Zealand set to battle for Group A placings in Dubai on Sunday.
South Africa skipper Dean Elgar and team manager Khomotso Masubelele met match officials during the lunch break on Day 2 of the second Test, in Johannesburg, to discuss a questionable caught behind dismissal of Rassie van der Dussen.
South Africa crushed England by seven wickets in their final group match to storm into the semi-finals of the ICC Champions Trophy.
Despite a promising start led by Temba Bavuma and Rassie van der Dussen, the Proteas' middle order crumbled under pressure, leaving their chase of 362 out of reach.
Rinku Singh, known for his hard-hitting abilities down the order, rolled his arms over during a training session on the eve of the opening game of the 5-match T20 series against Australia in Canberra on Thursday.
Rohit Sharma's men are playing all their matches in Dubai, and even the final will be held there if the team goes the distance, while the rest of the teams have to criss-cross Pakistan for their matches.
Opener Reeza Hendricks smashed 117 runs from 63 balls to guide South Africa to a seven-wicket victory over Pakistan in the second Twenty20 International at Centurion Park on Friday as they claimed the three-match series 2-0 with a game to spare.
Van der Dussen scored 75 off 46 balls as South Africa chased down a target of 212 in a canter in the first T20I against India.
Amid Indian strikes, PCB in huddle to decide whether PSL should continue
South African batter Rassie van der Dussen was satisfied that he could execute his sweep shots to perfection as the Indian spinners were unsettled during the home team's 31-run win over visitors in the first ODI in Paarl on Wednesday.
Reeza Hendricks and Rassie van der Dussen impressed with the bat as a much-changed South Africa defeated Sri Lanka by 16 runs to seal the Twenty20 International series at Centurion Park on Friday.
Six uncapped players named in South Africa ODI squad
Afghanistan wrapped up their best ever World Cup campaign with four wins and also sealed a place in the Champions Trophy.
A flawless maiden hundred from opener Ryan Rickelton helped South Africa crush Afghanistan by 107 runs.
South Africa sealed a comprehensive 190-run victory over New Zealand on Wednesday for their sixth win in seven matches.
S Africa select young guns Brevis, Pretorius for Australia tour
Images from the first One-Day International between South Africa and India, in Paarl, on Wednesday.
South Africa's bowlers chipped away at the wickets to stay on course for a huge victory against New Zealand.
IMAGES from the ICC World Cup match played between South Africa and Sri Lanka in New Delhi on Saturday.
New Zealand booked their place in the final of the Champions Trophy against India after a 50-run victory over South Africa.
Seamer Wiaan Mulder, brought belatedly into the home attack, took three wickets in 11 balls to see Sri Lanka slump to 80-4, after which Nortje bagged regular victims to complete a second test five-wicket haul.
From staying under the radar in the lead-up to the World Cup to becoming high-flyers, South Africa have started playing to potential and are firm favourites against the Dutch.
IMAGES from the Champions Trophy second Semi-final between New Zealand and South Africa played at the Gaddafi Stadium, Lahore on Wednesday
Images from the T20 World Cup Super 12s match between West Indies and South Africa, in Dubai, on Tuesday.
Skipper K L Rahul blamed lack of wickets in the middle overs and a below-par show by the middle order batters for India's 31-run defeat to South Africa in the One-Day International series-opener, in Paarl, on Wednesday.
We've beaten India here before: Rassie van der Dussen
India started well as opener Shikhar Dhawan scored 79 from 84 balls and former captain Virat Kohli 51 from 63, but when they were dismissed the touring side struggled to keep up with the required run-rate and finished on 265 for eight.
Aiden Markram replaced Temba Bavuma as T20I skipper of the South African national side.
South Africa and Australia are set to meet in a semi-final on Thursday. The Proteas thrashed the Aussies by 134 runs in the league stage match last month.
IMAGES from the T20 World Cup Super 12 match between South Africa and England, played in Sharjah on Saturday.
Rassie van der Dussen conceded that South Africa needs to improve chasing runs after Afghanistan's bowlers made things difficult for them in the middle overs in their World Cup match in Ahmedabad on Friday.
MI Cape Town secured a bonus point victory over Durban's Super Giants in their SA20 league match, thanks to a brilliant knock from Ryan Rickelton and a destructive finish from George Linde.
The bowling stocks looks good, but the major concern will be around the batting line-up, which struggled on the recent tour of England.
Australia's 417-6 against Afghanistan in Perth in 2015 was the previous highest total in the men's World Cup.