Question $7$

$4$ pts

In a double$-$slit experiment using monochromatic light, the slits have a separation distance of $14\mathrm{.}2m.$ When $598-nm$ wavelength light is used, the distance to the $3-$order maximum $($from the central maximum$)$ is $19\mathrm{.}38$ cm $.$ What is the distance to between the slits and the screen?

Enter your answer in units of meters. For example, if your calculation produces a value of $1\mathrm{.}23$ m $,$ enter your answer as $1\mathrm{.}23.$