We construct a new catalog of extragalactic X-ray binaries (XRBs) by matching the latest Chandra source catalog with local galaxy catalogs. Our XRB catalog contains 4430 XRBs hosted by 237 galaxies within ~130 Mpc. As XRBs dominate the X-ray activity in galaxies, the catalog enables us to study the correlations between the total X-ray luminosity of a galaxy $L_{X,rm tot}$, star formation rate $dot{rho}_star$, and stellar mass $M_star$. As previously reported, $L_{X,rm tot}$ is correlated with $dot{rho}_star$ and $M_star$. In particular, we find that there is a fundamental plane in those three parameters as $log L_{X,rm tot}={38.80^{+0.09}_{-0.12}}+log(dot{rho}_star + alpha M_star)$, where $alpha = {(3.36pm1.40)times10^{-11}} {rm yr^{-1}}$. In order to investigate this relation, we construct a phenomenological binary population synthesis model. We find that the high mass XRB and low mass XRB fraction in formed compact object binary systems is ~9% and ~0.04%, respectively. Utilizing the latest XMM-Newton, and Swift X-ray source catalog data sets, additional XRB candidates are also found resulting in 5757 XRBs hosted by 311 galaxies.
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