The Reliance Volunteer Fire Company wants to take advantage of a state program to save money to purchase a new fire truck. The truck will cost $$260,000,$ and members of the finance committee estimate that with community and state contributions, they can save $$5,000$ per month in an ordinary annuity paying $10\mathrm{.}6\%$ annual interest. How long will it take to save for the truck?

It will take $$ months to save for the truck. $($Round up to the nearest month.$)$