Identify the name of reaction for aryl halide with alkyl halide and sodium metal in dry ether to give substituted aromatic compounds.

Wurtz-Fittig reaction occurs when an aryl halide and an alkyl halide react with sodium metal in dry ether, forming an alkyl-substituted aromatic compound: $Ar-X + R-X + 2Na \xrightarrow{Dry\ Ether} Ar-R + 2NaX$.

Other reactions include:

Wurtz reaction: Two alkyl halides yielding a higher alkane: $R-X + R'-X + 2Na \xrightarrow{Dry\ Ether} R-R' + 2NaX$.

Fittig reaction: Two aryl halides forming a biaryl compound: $Ar-X + Ar'-X + 2Na \xrightarrow{Dry\ Ether} Ar-Ar' + 2NaX$.

Finkelstein reaction: Halogen exchange with sodium iodide in acetone: $R-X + NaI \xrightarrow{Acetone} R-I + NaX$ ($X = Cl, Br$).

Since the described reaction involves one aryl and one alkyl halide, it corresponds to the Wurtz-Fittig reaction.