A pair of parallel slits separated by $1\mathrm{.}60104$ m is illuminated by $483$ nm light and an interference pattern is observed on a screen $2\mathrm{.}60$ m from the plane of the slits. Calculate the difference in path lengths from each of the slits to the location on the screen of a third$-$order bright fringe and a third dark fringe. $($Enter your answers in m$.)$

HINT

$($a$)$

a third$-$order bright fringe

m

$($b$)$

a third dark fringe