To begin with, we need to estimate New York City's population, which is approximately 8 million people. For simplicity, let's consider that 1% of this population would utilize the bike-sharing service on a daily basis, equating to about 80,000 individuals. If we assume each bike is used by 4 different riders each day, we would require 20,000 bikes. Additionally, since these services generally maintain a buffer stock to accommodate repairs or high demand periods, we might add an extra 10%, resulting in a total of 22,000 bikes. This is a rough estimate, and actual figures could differ significantly based on the specific characteristics of NYC's biking culture and the objectives of the bike-sharing service.