This paper introduces a hybrid readout system for a cross-strip position-sensitive anode detector that combines a lookup table and weighted averaging. The lookup table approach is used to identify event channels and select appropriate weights based on the corresponding index code for calculating the centroid of the electron cloud. This effectively enhances the readout system's processing speed while preserving the high-resolution advantage of the cross-strip position-sensitive anode. Simulations were performed to evaluate the performance of the system. Experimental results demonstrate that this readout method achieves an event processing speed exceeding 10 MHz while maintaining a resolution of 17.96 lp/mm.