Finding the Third Proportional to 10,440 and 22,814

Step by Step Solution

1. Step 1: Write the proportion equation
   10,440 : 22,814 = 22,814 : x
2. Step 2: Convert to fraction form
   10,440/22,814 = 22,814/x
3. Step 3: Cross multiply
   10,440x = 22,814 × 22,814
4. Step 4: Simplify right side
   10,440x = 520,478,596
5. Step 5: Solve for x
   x = 520,478,596/10,440
6. Step 6: Final answer
   x = 49,854.27