The production of $mathit{Xi}_{cc}^{++}$ baryons in proton-proton collisions at a centre-of-mass energy of $sqrt{s}=13$ TeV is measured in the transverse-momentum range $4<p_mathrm{T}<15~mathrm{GeV}$/$c$ and the rapidity range $2.0<y<4.5$. The data used in this measurement correspond to an integrated luminosity of 1.7 $mathrm{fb}^{-1}$, recorded by the LHCb experiment during 2016. The ratio of the $mathit{Xi}_{cc}^{++}$ production cross-section times the branching fraction of the $mathit{Xi_{cc}^{++} to Lambda_{c}^{+} K^- pi^+ pi^+}$ decay relative to the prompt $mathit{Lambda_c^{+}}$ production cross-section is found to be $(2.22pm 0.27 pm 0.29)times 10^{-4}$, assuming the central value of the measured $mathit{Xi_{cc}^{++}}$ lifetime, where the first uncertainty is statistical and the second systematic.
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