(Reuters) - Chevron Corp reported a 36% drop in third-quarter profit on Friday as the oil major was hit by lower oil and gas prices due to record shale oil output in North America and a slowing global economy.Net income attributable to the company fell to $2.58 billion (£1.99 billion), or $1.36 per share, in the three months ended Sept. 30, from $4.05 billion, or $2.11 per share a year earlier.Chevron's worldwide net oil equivalent production grew about 3% to 3.03 million barrels per day, but..