This study addresses key challenges in Extended-Reach Drilling operations, focusing on limited axial load transfer to the bit and increased hydraulic pressure losses. These issues are critical as they directly impact drilling efficiency and well construction capabilities. A technological solution involving the integration of a hydraulic thruster into the bottomhole assembly was proposed and investigated. A comprehensive mathematical model of the hydromechanical system comprising the bit, Positive Displacement Motor (PDM), hydraulic thruster and mud pump was developed. An iterative computational algorithm in Python was created for equipment selection and drilling regime optimization. The novelty of the work lies in the development of a comprehensive modeling approach that integrates the operation of a hydraulic thruster with a PDM within the bottom hole assembly and mud pump. This research provides a scientifically grounded methodology for designing bottomhole assembly (BHA) with integrated hydraulic thrusters, filling a gap in existing literature. The study confirms the effectiveness of hydraulic thruster applications in drilling deep, deviated, and horizontal wells.