We propose that the inclusive $Xi_{bc} to Xi_{cc}^{++}+X$ decay can be a potential discovery channel for beauty-charmed baryons $Xi_{bc}$ at the LHC. The unique feature of this process is that it produces a displaced $Xi_{cc}^{++}$, which makes it almost background free. Within the heavy diquark effective theory, the $Xi_{bc} to Xi_{cc}^{++}+X$ branching ratio is calculated to be about 3%. Further considering the production rate of $Xi_{bc}$ and the detection efficiency of $Xi_{cc}^{++}$, it is expected that hundreds of signal events will be collected by the LHCb Run3.