Finding the Third Proportional to 9,142 and 13,676

Step by Step Solution

1. Step 1: Write the proportion equation
   9,142 : 13,676 = 13,676 : x
2. Step 2: Convert to fraction form
   9,142/13,676 = 13,676/x
3. Step 3: Cross multiply
   9,142x = 13,676 × 13,676
4. Step 4: Simplify right side
   9,142x = 187,032,976
5. Step 5: Solve for x
   x = 187,032,976/9,142
6. Step 6: Final answer
   x = 20,458.65