Finding the Third Proportional to 10,564 and 22,766

Step by Step Solution

1. Step 1: Write the proportion equation
   10,564 : 22,766 = 22,766 : x
2. Step 2: Convert to fraction form
   10,564/22,766 = 22,766/x
3. Step 3: Cross multiply
   10,564x = 22,766 × 22,766
4. Step 4: Simplify right side
   10,564x = 518,290,756
5. Step 5: Solve for x
   x = 518,290,756/10,564
6. Step 6: Final answer
   x = 49,061.98