Finding the Third Proportional to 36,665 and 57,188.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,665 : 57,188.50 = 57,188.50 : x
2. Step 2: Convert to fraction form
   36,665/57,188.50 = 57,188.50/x
3. Step 3: Cross multiply
   36,665x = 57,188.50 × 57,188.50
4. Step 4: Simplify right side
   36,665x = 3,270,524,532.25
5. Step 5: Solve for x
   x = 3,270,524,532.25/36,665
6. Step 6: Final answer
   x = 89,200.18