A draw extending archery system enables a user to draw a draw string multiple times to store energy. Embodiments of the system include a transmission that operatively engages the draw string and a flexible limb. From an initial rest position, the user initiates a charging stroke on the draw string. During a first charging stroke, the transmission engages to store energy during the draw. At the end of the charging stroke, the transmission engages to prevent release of stored energy. The transmission also disengages the draw string to enable a subsequent charging stroke from an intermediate rest position. From a final rest position, the user initiates a firing stroke on the draw string. At the end of the firing stroke, the transmission couples the draw string and the flexible limb to release stored energy through the draw string.