Finding the Third Proportional to 8,142 and 12,327

Step by Step Solution

1. Step 1: Write the proportion equation
   8,142 : 12,327 = 12,327 : x
2. Step 2: Convert to fraction form
   8,142/12,327 = 12,327/x
3. Step 3: Cross multiply
   8,142x = 12,327 × 12,327
4. Step 4: Simplify right side
   8,142x = 151,954,929
5. Step 5: Solve for x
   x = 151,954,929/8,142
6. Step 6: Final answer
   x = 18,663.10