Walkley pointed out that other manufacturers such as BlackBerry, Nokia, LG, HTC and Motorola are operating at a loss, based on his latest global handset survey.
Walkley estimated that Samsung shipped 84.8 million smartphones in the quarter and "captured an impressive 53% of handset industry profits."
Apple meanwhile, which launched two new iPhones late in the quarter, "increased its share of industry profits from 53% in the second quarter to 56% in the third quarter due to slightly higher sequential iPhone unit sales but also primarily due to more pronounced struggles from other" manufacturers.
He said Apple is likely to perform even better in the fourth quarter with "improved supply for the iPhone 5s and steady iPhone 5c sales."
Walkley said his analysis excludes some new Chinese smartphone makers "due to the lack of available profit metrics."
A Gartner survey released on Thursday showed Samsung had 32% of the global smartphone market in the past quarter, to Apple's 12.1%.