Finding the Third Proportional to 9,568 and 16,856

Step by Step Solution

1. Step 1: Write the proportion equation
   9,568 : 16,856 = 16,856 : x
2. Step 2: Convert to fraction form
   9,568/16,856 = 16,856/x
3. Step 3: Cross multiply
   9,568x = 16,856 × 16,856
4. Step 4: Simplify right side
   9,568x = 284,124,736
5. Step 5: Solve for x
   x = 284,124,736/9,568
6. Step 6: Final answer
   x = 29,695.31