Finding the Third Proportional to 9,682 and 12,856

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682 : 12,856 = 12,856 : x
2. Step 2: Convert to fraction form
   9,682/12,856 = 12,856/x
3. Step 3: Cross multiply
   9,682x = 12,856 × 12,856
4. Step 4: Simplify right side
   9,682x = 165,276,736
5. Step 5: Solve for x
   x = 165,276,736/9,682
6. Step 6: Final answer
   x = 17,070.52