We present a comprehensive numerical study of the radion stabilisation mechanism within a higher-dimensional emergent gravity framework. Starting from a ten-dimensional construction, we perform a dimensional reduction to an effective four-dimensional theory containing a radion field $phi(x)$ and a set of internal excitation modes $psi(x)$. The effective potential $V_{text{eff}}(phi,psi)$ is derived, featuring competing power-law terms that naturally admit a stable minimum without fine-tuning. By solving the coupled equations of motion numerically, we demonstrate dynamical stability of the vacuum and extract the radion mass. A systematic parameter scan confirms the robustness of the stabilisation mechanism over a wide range of couplings. We confront our predictions with current LHC data from ATLAS and CMS, showing that the predicted radion mass $m_phi sim mathcal{O}(teV)$ lies in a region partially accessible to Run 2 searches, with further discovery potential at the High-Luminosity LHC. Our results provide strong support for the internal consistency of emergent gravity scenarios and offer a clear phenomenological target for future collider experiments.