A float adapter for an electrical connector that includes a conductive shell and an insulator received in the conductive shell. The insulator includes an engagement end, an interface end that is opposite the engagement end, and a reduced diameter middle portion therebetween. The insulator includes an inner bore that extends through the engagement end, the interface end, and the reduced diameter middle portion. The interface end has a lead-in tip portion that extends outside of the first end of the conductive shell. The lead-in tip portion has a tapered outer surface that terminates in an end face surface and a shoulder remote from the end face surface that defines an outer diameter that is larger than the inner diameter of the conductive shell. An inner contact is received in the inner bore of the insulator. The inner contact has socket openings at either end.