An analyst has been following American Dream stock. He projects the following dividends for the next three years:

YEAR $123$

Dividend $$1\mathrm{.}86$ $$2\mathrm{.}15$ $$2\mathrm{.}96$

The analyst notes that American Dream stock has a required return of $9\mathrm{.}71\%.$ The analyst projects that dividends will grow at a constant rate of $5\mathrm{.}00\%$ per year after year $3.$

What is the projected selling price for the stock at the end of year $3?$