  Single crystal x-ray diffraction, magnetic susceptibility, heat capacity, and
electrical resistivity measurements are reported for the new tetragonal
compound Ce$_{2}$PdGe$_{3}$, which forms in the space group $P4_{2}/mmc$
(\#131) $-$ a relative of the $\alpha$-ThSi$_2$-type structure. Measurements
reveal a two-part antiferromagnetic phase transition at $T_{\rm{N,1}}$ $=$ 10.7
K and $T_{\rm{N,2}}$ $=$ 9.6 K and subsequent ferromagnetic ordering near
$T_{\rm{C}}$ $\approx$ 2.25 K. The ordered ground state emerges from a lattice
of Ce ions that are hybridized with the conduction electrons, as revealed by
the enhanced electronic coefficient of the specific heat $\gamma$ $\approx$ 50
mJ/mol-Ce-K$^2$ (extrapolated to $T$ $=$ 0 for $T$ $<$ $T_{\rm{C}}$).
Electronic structure calculations suggest that there is significant f-electron
weight in the density of states near the Fermi energy and that the Fermi
surface includes sheets with distinct nesting vectors. Chemical/structural
disorder also plays an important role, as evidenced by results from single
crystal x-ray diffraction, the width of the peaks in the heat capacity at
$T_{\rm{N}}$ and $T_{\rm{C}}$, and the small residual resistivity ratio RRR $=$
$\rho_{\rm{300K}}$/$\rho_{\rm{0}}$ $=$ 1.8.
