Finding the Third Proportional to 8,108 and 17,684

Step by Step Solution

1. Step 1: Write the proportion equation
   8,108 : 17,684 = 17,684 : x
2. Step 2: Convert to fraction form
   8,108/17,684 = 17,684/x
3. Step 3: Cross multiply
   8,108x = 17,684 × 17,684
4. Step 4: Simplify right side
   8,108x = 312,723,856
5. Step 5: Solve for x
   x = 312,723,856/8,108
6. Step 6: Final answer
   x = 38,569.79