Just put the two surnames in front, that is, the other surname in the middle, and then process this year's auspicious words to become a three-word name.
For example, Cao Zhangming, Cao Zhangqin, Cao Zhangke, Cao Zhangnan, Cao Zhangyu, Cao Zhangjun, Cao Zhangrong, Cao Zhanghong, Cao Zhangkuan, Cao Zhangtong, Cao Zhangsheng, Cao Zhangyin, Cao Zhangying and Cao Zhangning.