Finding the Third Proportional to 9,142 and 16,880

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142 : 16,880 = 16,880 : x
2. Step 2: Convert to fraction form
   9,142/16,880 = 16,880/x
3. Step 3: Cross multiply
   9,142x = 16,880 × 16,880
4. Step 4: Simplify right side
   9,142x = 284,934,400
5. Step 5: Solve for x
   x = 284,934,400/9,142
6. Step 6: Final answer
   x = 31,167.62