Finding the Third Proportional to 10,280 and 22,422

Step by Step Solution

1. Step 1: Write the proportion equation
   10,280 : 22,422 = 22,422 : x
2. Step 2: Convert to fraction form
   10,280/22,422 = 22,422/x
3. Step 3: Cross multiply
   10,280x = 22,422 × 22,422
4. Step 4: Simplify right side
   10,280x = 502,746,084
5. Step 5: Solve for x
   x = 502,746,084/10,280
6. Step 6: Final answer
   x = 48,905.26