Final answer:
The most appropriate next step in the management of this patient is to perform a bone age assessment.
Step-by-step explanation:
The most appropriate next step in the management of this patient is to perform a Bone age assessment. Bone age is determined by taking an X-ray of the wrist and hand, which can help estimate the child's skeletal maturity and potential for growth. Since the patient is in the 3rd percentile for both height and weight, it is important to assess if her bone age is proportional to her chronological age or if there is a delay in bone maturation.