Finding the Third Proportional to 39,663 and 83,416.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,663 : 83,416.50 = 83,416.50 : x
2. Step 2: Convert to fraction form
   39,663/83,416.50 = 83,416.50/x
3. Step 3: Cross multiply
   39,663x = 83,416.50 × 83,416.50
4. Step 4: Simplify right side
   39,663x = 6,958,312,472.25
5. Step 5: Solve for x
   x = 6,958,312,472.25/39,663
6. Step 6: Final answer
   x = 175,435.86