To find side $ c $ use Thw Law of Sines:
$$ \dfrac{ b } { \sin( \beta ) } = \dfrac{ c } { \sin( \gamma ) } $$After substituting $b = 3$, $\beta = 58^o$ and $\gamma = 62^o$ we have:
$$ \dfrac{ 3 } { \sin( 58^o ) } = \dfrac{ c } { \sin( 62^o ) } $$ $$ \dfrac{ 3 } { 0.848 } = \dfrac{ c } { 0.8829 } $$ $$ c \cdot 0.848 = 3 \cdot 0.8829 $$ $$ c \cdot 0.848 = 2.6488 $$ $$ c = \dfrac{ 2.6488 }{ 0.848 } $$ $$ c \approx 3.1235 $$