Finding the Third Proportional to 36,099 and 53,055

Step by Step Solution

1. Step 1: Write the proportion equation
   36,099 : 53,055 = 53,055 : x
2. Step 2: Convert to fraction form
   36,099/53,055 = 53,055/x
3. Step 3: Cross multiply
   36,099x = 53,055 × 53,055
4. Step 4: Simplify right side
   36,099x = 2,814,833,025
5. Step 5: Solve for x
   x = 2,814,833,025/36,099
6. Step 6: Final answer
   x = 77,975.37