Finding the Third Proportional to 10,142 and 22,257

Step by Step Solution

1. Step 1: Write the proportion equation
   10,142 : 22,257 = 22,257 : x
2. Step 2: Convert to fraction form
   10,142/22,257 = 22,257/x
3. Step 3: Cross multiply
   10,142x = 22,257 × 22,257
4. Step 4: Simplify right side
   10,142x = 495,374,049
5. Step 5: Solve for x
   x = 495,374,049/10,142
6. Step 6: Final answer
   x = 48,843.82