\(R1nt \left(R2//R3\right)\)
\(\rightarrow U23=U2=U3=6V\)
\(\Rightarrow U=U1+U23=12+6=18V\)
\(I=I1=I23=P1:U1=18:12=1,5A\)
\(\rightarrow R=U:I=18:1,5=12\Omega\)
\(\rightarrow R23=R-R1=12-\left(\dfrac{12^2}{18}\right)=4\Omega\)
\(R2=U2^2:P2=6^2:3=12\Omega\)
\(\Rightarrow\dfrac{1}{R3}=\dfrac{1}{R23}-\dfrac{1}{R2}=\dfrac{1}{4}-\dfrac{1}{12}=\dfrac{1}{6}\Rightarrow R3=6\Omega\)