Once you install an unbalanced interconnect, the pathway is no longer balanced. An RCA to XLR adapter will not be converted to a balanced signal.
A IsoMax transformer will accept RCA input and convert it to balanced. The outputs are XLR.
https://www.cs1.net/products/jensen_transformers/PO-2RX.htm
A IsoMax transformer will accept RCA input and convert it to balanced. The outputs are XLR.
https://www.cs1.net/products/jensen_transformers/PO-2RX.htm