We report efficient high-order harmonic generation achieved using a two-color laser field. By inserting a second-harmonic generation crystal in the path of a converging laser pulse, the overall efficiency for high-harmonic generation was enhanced by more than an order of magnitude. In addition, even-order harmonics were also generated. The 2(2n+1)th -order harmonics were very strong and, in particular, the 38th harmonic (21.6 nm), obtained with a single laser shot of 2 mJ, saturated the X-ray charge-coupled device (CCD) of an extreme-ultraviolet spectrometer even with an Al filter of 1.5 mum thickness installed in front of the CCD.