Answer
ethoxide ion > methylamine > ethanol
Work Step by Step
Methylamine has $pK_b$ of 3.36. Ethoxide's base strength is similar to hydroxide. Since ethoxide is the conjugate base of ethanol, it must be stronger base than ethanol. The basicity of methylamine is between the basicity of ethanol and ethoxide ion. Thus, the decreasing order of basicity is ethoxide ion > methylamine > ethanol