In a double$-$slit experiment using monochromatic light, a screen is placed $1\mathrm{.}23$ m from the slits, which have a separation distance of $22\mathrm{.}6m.$ The wavelength of the light is $474$ nm $.$ What is the distance from the central maximum to the $3-$order maximum?

Enter your answer in units of centimeters. For example, if your calculation produces a value of $0\mathrm{.}123$ m $,$ first convert units to $12\mathrm{.}3$ cm $,$ then enter your answer as $12\mathrm{.}3.$