In $1896,$ the first Green Jacket Golf Championship was held. The winner$$s prize money was $$170.$ In $2024,$ the winner$$s check was $$3,660,000.$ What was the annual percentage increase in the winner$$s check over this period? Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$ If the winner$$s prize increases at the same rate, what will it be in $2061?$ Note: Do not round intermediate calculations and round your answer to $2$ decimal places, e$.$g$.,1,234,567\mathrm{.}89.$