Solution
= Solution
A transverse physical size is angle times <angular diameter distance>, not <luminosity distance> or <comoving distance>. Converting the apparent diameter into radians gives
$$
\boxed{d=5\left(\frac{\pi}{180\times3600}\right)D_A=43.8\ \mathrm{kpc}}.
$$
This is the galaxy's projected proper diameter at the emission epoch. Its corresponding comoving diameter is three times larger.