Finding the Third Proportional to 9,766 and 10,676

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766 : 10,676 = 10,676 : x
2. Step 2: Convert to fraction form
   9,766/10,676 = 10,676/x
3. Step 3: Cross multiply
   9,766x = 10,676 × 10,676
4. Step 4: Simplify right side
   9,766x = 113,976,976
5. Step 5: Solve for x
   x = 113,976,976/9,766
6. Step 6: Final answer
   x = 11,670.79