Finding the Third Proportional to 48,539 and 72,736.50

Step by Step Solution

1. Step 1: Write the proportion equation
   48,539 : 72,736.50 = 72,736.50 : x
2. Step 2: Convert to fraction form
   48,539/72,736.50 = 72,736.50/x
3. Step 3: Cross multiply
   48,539x = 72,736.50 × 72,736.50
4. Step 4: Simplify right side
   48,539x = 5,290,598,432.25
5. Step 5: Solve for x
   x = 5,290,598,432.25/48,539
6. Step 6: Final answer
   x = 108,996.86