Finding the Third Proportional to 34,632.25 and 75,744.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,632.25 : 75,744.50 = 75,744.50 : x
2. Step 2: Convert to fraction form
   34,632.25/75,744.50 = 75,744.50/x
3. Step 3: Cross multiply
   34,632.25x = 75,744.50 × 75,744.50
4. Step 4: Simplify right side
   34,632.25x = 5,737,229,280.25
5. Step 5: Solve for x
   x = 5,737,229,280.25/34,632.25
6. Step 6: Final answer
   x = 165,661.47