Finding the Third Proportional to 36,915 and 86,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   36,915 : 86,665.50 = 86,665.50 : x
2. Step 2: Convert to fraction form
   36,915/86,665.50 = 86,665.50/x
3. Step 3: Cross multiply
   36,915x = 86,665.50 × 86,665.50
4. Step 4: Simplify right side
   36,915x = 7,510,908,890.25
5. Step 5: Solve for x
   x = 7,510,908,890.25/36,915
6. Step 6: Final answer
   x = 203,464.96