Finding the Third Proportional to 12,142 and 16,406

Step by Step Solution

1. Step 1: Write the proportion equation
   12,142 : 16,406 = 16,406 : x
2. Step 2: Convert to fraction form
   12,142/16,406 = 16,406/x
3. Step 3: Cross multiply
   12,142x = 16,406 × 16,406
4. Step 4: Simplify right side
   12,142x = 269,156,836
5. Step 5: Solve for x
   x = 269,156,836/12,142
6. Step 6: Final answer
   x = 22,167.42