The population of a city in 2005 was 18,000. by 2010, the city’s population had grown to 45,000. economists have determined that the population growth follows an exponential model. if they are correct, what is the projected population for 2015?

If the economists are correct in terms of determining that population growth follows an exponential model, then the answer should be 110,682. I arrived to this answer through solving for the growth rate of the population which is 18%. Then I went and solved for the projected population with this growth rate and with the value of 45,000 and used the 5 year-difference between them (2010 - 2015). All of these led me to arrive with the answer of 110,682.