Finding the Third Proportional to 11,766 and 24,840

Step by Step Solution

1. Step 1: Write the proportion equation
   11,766 : 24,840 = 24,840 : x
2. Step 2: Convert to fraction form
   11,766/24,840 = 24,840/x
3. Step 3: Cross multiply
   11,766x = 24,840 × 24,840
4. Step 4: Simplify right side
   11,766x = 617,025,600
5. Step 5: Solve for x
   x = 617,025,600/11,766
6. Step 6: Final answer
   x = 52,441.41