Finding the Third Proportional to 38,566 and 58,663.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,566 : 58,663.50 = 58,663.50 : x
2. Step 2: Convert to fraction form
   38,566/58,663.50 = 58,663.50/x
3. Step 3: Cross multiply
   38,566x = 58,663.50 × 58,663.50
4. Step 4: Simplify right side
   38,566x = 3,441,406,232.25
5. Step 5: Solve for x
   x = 3,441,406,232.25/38,566
6. Step 6: Final answer
   x = 89,234.20