Finding the Third Proportional to 32,724 and 49,693.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32,724 : 49,693.50 = 49,693.50 : x
2. Step 2: Convert to fraction form
   32,724/49,693.50 = 49,693.50/x
3. Step 3: Cross multiply
   32,724x = 49,693.50 × 49,693.50
4. Step 4: Simplify right side
   32,724x = 2,469,443,942.25
5. Step 5: Solve for x
   x = 2,469,443,942.25/32,724
6. Step 6: Final answer
   x = 75,462.78