Himmat, who had earlier posted his sole career win on Asian Tour in Singapore Classic in 2011, made the cut.
The other Indians in the fray -- Rahil Gangjee, who was in top-10 after first round, slipped to tied 27th after 36 holes and is now tied 51st with rounds of 68-72-75, while SSP Chawrasia (71-71-76) was undone by a struggling second nine, which was the front half of the course.
Meanwhile, Rashid Khan (71-76), Gaganjeet Bhullar (75-72), Arjun Atwal (78-71), Jeev Milkha Singh (78-74) and Chiragh Kumar (79-75) missed the cut.
Jordan Spieth, whose aura continues to spread, was within striking distance of his maiden triumph on the Asian continent, as he was three behind but still had two more holes to play in the third round.
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For the third day in succession, play could not be completed, this time because of fading light on a day.
Spieth was then one-under through 16 holes and will return at 7.30 am on Sunday to complete the third round before making a bid for the title.
Spieth was six-under through 52 holes, and China Liang Wen-chong was the clubhouse leader at eight-under 205 with rounds of 71-67-67). However, Younghan Song, who shot 63 in second round, was leading the field at nine-under but with five holes to play in third round.
His playing partners, Shintaro Kobayashi and first-round leader, Keith Horne were at seven-under.