Finding the Third Proportional to 10,425 and 22,753.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,425 : 22,753.50 = 22,753.50 : x
2. Step 2: Convert to fraction form
   10,425/22,753.50 = 22,753.50/x
3. Step 3: Cross multiply
   10,425x = 22,753.50 × 22,753.50
4. Step 4: Simplify right side
   10,425x = 517,721,762.25
5. Step 5: Solve for x
   x = 517,721,762.25/10,425
6. Step 6: Final answer
   x = 49,661.56