The time-averaged shear (S) wave velocity in the upper 30 meters of sediment (V-S30) is a widely used site parameter for ground motion prediction. When unavailable from measurements, as is often the case at accelerograph stations in Central and Eastern North America (CENA), V-S30 is typically estimated from proxies. We propose an alternative for CENA based on a theoretical relationship between S-wave velocity and the ratio of radial to vertical components of the compressional (P)-wave-dominated portion of the velocity time series. This method is applied to 31 CENA accelerograph sites having measured S-wave velocity profiles. Time-averaged S-wave velocities to depth z (V-SZ) from the proposed method agree well with those from measurements. We develop linear relationships between V-SZ and V-S30 using CENA S-wave velocity profile data. Values of V-S30 established from the proposed method (including depth extrapolation) have lower dispersion relative to data (sigma(ln) (V) = 0.43) than do estimates from available CENA proxies.