Finding the Third Proportional to 9,766 and 10,675

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766 : 10,675 = 10,675 : x
2. Step 2: Convert to fraction form
   9,766/10,675 = 10,675/x
3. Step 3: Cross multiply
   9,766x = 10,675 × 10,675
4. Step 4: Simplify right side
   9,766x = 113,955,625
5. Step 5: Solve for x
   x = 113,955,625/9,766
6. Step 6: Final answer
   x = 11,668.61