A 37-year-old woman is evaluated in the emergency department for fever and rigors of 4 hours' duration. Medical history is significant for acute lymphoblastic leukemia for which she completed multiagent chemotherapy 10 days ago. Her medical history is otherwise noncontributory, and she takes no other medications.

On physical examination, temperature is 38.8 °C (101.8 °F), blood pressure is 110/60 mm Hg, pulse rate is 100/min, and respiration rate is 16/min. On pulmonary examination, the lungs are clear. The remainder of the physical examination is unremarkable.

Laboratory studies indicate a leukocyte count of 0.3/µL (0.0003 × 109/L) with 0 neutrophils. The remaining laboratory studies are normal.

A chest radiograph is normal. Blood and urine cultures are obtained.

Which of the following is the most appropriate next step in management?