Kapur, who is finding his game back, after two testing years -- during which he lost his card in Europe --, is eight-under 208 and just two shots behind leader Yikeun Chang of Korea (68).
In the second place is Gavin Green (66) at nine-under and then Kapur is tied for third with five others.
Among other Indians, Himmat Rai (69) stayed in Tied-18th place at four-under 212, while Khalin Joshi (70), Chiragh Kumar (75), S Chikkarangappa (75) and Sujjan Singh (69) are all at even par and Tied-34th. Rahil Gangjee (74) is Tied-59th at four-over 220.
But a birdie on seventh and then four more on back nine, on 10th, 14th, 16th and 17th saw him jump back into the mix for the title.
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"It is nice to be in contention after all that I went through last year. Lying on the hospital bed you think about putting yourself back into contention. It is nice to be back, feeling fit and seeing my name on the leaderboard," Kapur said.
Chang charged into contention for a first Asian Tour victory after shooting a third round four-under 68.
The 23-year-old, who won the Qualifying School last year, birdied two in his opening three holes before adding another two birdies to seize the lead on 10-under 206 at the National Golf Country Club.
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