Final answer:
Henry Bessemer provided a solution with the Bessemer process, which was essential in enabling Andrew Carnegie's dominance in the steel industry by producing stronger and cheaper steel.
Step-by-step explanation:
Henry Bessemer provided a revolutionary process for producing steel, known as the Bessemer process, to solve Andrew Carnegie's problem with the new substance, steel. This process involved blowing cold air over hot iron to rid it of impurities, making the steel stronger and cheaper to produce. Embracing this technology, Andrew Carnegie founded the Carnegie Steel Factory in Pittsburgh, ultimately dominating the U.S. steel market. Through vertical integration, which involved buying out suppliers like mines, freighters, and railroads, Carnegie cut costs and ensured a quality product. This positioned his steel production enterprise to outcompete others, resulting in the Carnegie Steel Factory producing more steel than all of Great Britain by 1900.