Finding the Third Proportional to 10,538 and 22,747

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538 : 22,747 = 22,747 : x
2. Step 2: Convert to fraction form
   10,538/22,747 = 22,747/x
3. Step 3: Cross multiply
   10,538x = 22,747 × 22,747
4. Step 4: Simplify right side
   10,538x = 517,426,009
5. Step 5: Solve for x
   x = 517,426,009/10,538
6. Step 6: Final answer
   x = 49,100.97