Finding the Third Proportional to 10,642 and 12,418

Step by Step Solution

1. Step 1: Write the proportion equation
   10,642 : 12,418 = 12,418 : x
2. Step 2: Convert to fraction form
   10,642/12,418 = 12,418/x
3. Step 3: Cross multiply
   10,642x = 12,418 × 12,418
4. Step 4: Simplify right side
   10,642x = 154,206,724
5. Step 5: Solve for x
   x = 154,206,724/10,642
6. Step 6: Final answer
   x = 14,490.39