The resounding 317-run win over England in the second Test in Chennai on Tuesday propelled India to second in the World Test Championship standings.
After the series-levelling win at Chepuak, India have 69.7 percentage of points (PCT) and 460 aggregate points, behind New Zealand who have already qualified for the WTC final to be held at the Lord's June.
New Zealand have 70.0 PCT and 420 points.
India, who had lost the first Test by 227 runs at the same venue, need to win the one more and at least drawn another to make it to the WTC final.
They were fourth on the table before Tuesday's result.
Virat Kohli's men are currently playing in their sixth series of the WTC cycle, having won 10 matches, lost four and drawn one.
Australia are in third spot with 69.2 PCT and 332 points while England are in fourth position with 67.0 PCT and 442 points.
The third Test -- a day/night affair -- begins in Ahmedabad on February 24.