Finding the Third Proportional to 10,802 and 22,414

Step by Step Solution

1. Step 1: Write the proportion equation
   10,802 : 22,414 = 22,414 : x
2. Step 2: Convert to fraction form
   10,802/22,414 = 22,414/x
3. Step 3: Cross multiply
   10,802x = 22,414 × 22,414
4. Step 4: Simplify right side
   10,802x = 502,387,396
5. Step 5: Solve for x
   x = 502,387,396/10,802
6. Step 6: Final answer
   x = 46,508.74