Finding the Third Proportional to 45,538 and 69,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   45,538 : 69,229.50 = 69,229.50 : x
2. Step 2: Convert to fraction form
   45,538/69,229.50 = 69,229.50/x
3. Step 3: Cross multiply
   45,538x = 69,229.50 × 69,229.50
4. Step 4: Simplify right side
   45,538x = 4,792,723,670.25
5. Step 5: Solve for x
   x = 4,792,723,670.25/45,538
6. Step 6: Final answer
   x = 105,246.69