Prove that the gravitational field strength on earth is 9.8N/kg given ONLY the following:

Period of the moon around earth is 27 days, 8 hours.

Radius of moon's orbit is 60.1 x Earth's radius

Earth's radius iis 6.38 x 10^6 m

G = 6.67 x 10^-11 Nm^2/kg^2.

Full solution is needed

If anyone could help me with this, it is a "fun" challenge.