Finding the Third Proportional to 10,469 and 22,756

Step by Step Solution

1. Step 1: Write the proportion equation
   10,469 : 22,756 = 22,756 : x
2. Step 2: Convert to fraction form
   10,469/22,756 = 22,756/x
3. Step 3: Cross multiply
   10,469x = 22,756 × 22,756
4. Step 4: Simplify right side
   10,469x = 517,835,536
5. Step 5: Solve for x
   x = 517,835,536/10,469
6. Step 6: Final answer
   x = 49,463.71