Finding the Third Proportional to 10,959 and 23,766

Step by Step Solution

1. Step 1: Write the proportion equation
   10,959 : 23,766 = 23,766 : x
2. Step 2: Convert to fraction form
   10,959/23,766 = 23,766/x
3. Step 3: Cross multiply
   10,959x = 23,766 × 23,766
4. Step 4: Simplify right side
   10,959x = 564,822,756
5. Step 5: Solve for x
   x = 564,822,756/10,959
6. Step 6: Final answer
   x = 51,539.63