In $1895,$ the first U$.$S$.$ Putting Green Championship was held. The winner$$s prize money was $$240.$ In $2022,$ the winner$$s check was $$3,250,000.$

What was the percentage increase per year 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 $2054?$

Note: Do not round intermediate calculations and enter your answer as a percent rounded to $2$ decimal places, e$.$g$.,32\mathrm{.}16.$