A histogram shows the following three adjacent bins around the peak: $[10, 20)$ with frequency $12$; $[20, 30)$ with frequency $25$ (the modal class); and $[30, 40)$ with frequency $18$. Calculate the estimated mode of this dataset using the interpolation formula: $\\text{Mode} = L + \\left( \\frac{\\Delta_1}{\\Delta_1 + \\Delta_2} \\right) \\times w$