The development of high-frequency RF linear accelerators (linacs) requires consideration of several technological challenges, such as electron bunch linearization. Presented in this paper is the design of the interaction circuit for a 48 GHz MW-level three-cavity gyroklystron amplifier, appropriate for application as a millimeter wave power source in a 4 th harmonic linearizing system for an X-band linac. The output cavity is operated at the cylindrical TE0,2,1 mode, while the input and buncher cavities are operated at the TE0,1,1 mode. The interaction circuit has been designed using a combination of analytical calculations and particle-in-cell (PIC) simulations. The optimized gyroklystron is shown, through simulation, to deliver an output power of up to 2.3 MW with gain of 36 dB and efficiency of 44% at 48 GHz, when driven by a 140 kV, 37 A electron beam.