After day 2, Kapur aggregated seven-under 137 at the at the Phoenix's Gold Golf and Country.
As for the other Indians, Kahlin Joshi (67) moved to T4 and 5-under and at the same position was Gaganjeet Bhullar (71) while Jyoti Randhawa shot 73 and slipped to T35.
Winner of two Asian Tour titles this season, Kapur kept mistakes out of his game and carded a bogey-free 68. Similar to round one, he needed a few holes to get his game started.
Kapur said, "I was bogey-free today. I kept the mistakes off the card. I felt that I had a slow start as I didn't give myself birdie chances in the first five holes. I ground out a few pars, made a birdie on the sixth and a good birdie on seven. I got going after that.
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"I thought the conditions were much tougher today. The winds picked up and the greens got firm. The greens were pretty fast as well. Over at the back nine, I was just hanging on and trying to avoid the mistakes.
The experienced Thai golfer Prom was feeling very positive about his game from the first hole and he had the result to show for it. Prom carded three birdies and an eagle during the round.
The only blemish on his scorecard was a bogey on hole two. Prom put it down to bad luck as the wind picked up just as he hit the ball flush.
However, things did not go as well over his back nine (holes one to nine) as he made three bogeys. Although, he had an eagle on the sixth.
The entire field stays for the weekend as the Royal Cup is a no cut event. It is also the final event on the 2017 Asian Tour schedule.
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