To begin, we are told from the question that the rate of increase of the population of the country is proportional to the number of people presently living in the country.

Let make **N** represent the population of the country at any given time **t **and **N**_{o }as the initial population.

where **k **is the constant of proportionality.

For t=0, N = N_{o}

Therefore,_{ }

_{ } (1)

For t = 2 yrs, N = 2No

Substitute these values into (1)

k = 0.347

Therefore (1) becomes

(2)

For t = 3 yrs, N = 20,000

Substitute these values into (2)

N_{o }= 7062

Therefore the number of people initially living in the country is 7062