Finding the Third Proportional to 6,680 and 16,108

Step by Step Solution

1. Step 1: Write the proportion equation
   6,680 : 16,108 = 16,108 : x
2. Step 2: Convert to fraction form
   6,680/16,108 = 16,108/x
3. Step 3: Cross multiply
   6,680x = 16,108 × 16,108
4. Step 4: Simplify right side
   6,680x = 259,467,664
5. Step 5: Solve for x
   x = 259,467,664/6,680
6. Step 6: Final answer
   x = 38,842.46