Finding the Third Proportional to 10,422 and 22,472

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 22,472 = 22,472 : x
2. Step 2: Convert to fraction form
   10,422/22,472 = 22,472/x
3. Step 3: Cross multiply
   10,422x = 22,472 × 22,472
4. Step 4: Simplify right side
   10,422x = 504,990,784
5. Step 5: Solve for x
   x = 504,990,784/10,422
6. Step 6: Final answer
   x = 48,454.31