Finding the Third Proportional to 9,776 and 10,686

Step by Step Solution

1. Step 1: Write the proportion equation
   9,776 : 10,686 = 10,686 : x
2. Step 2: Convert to fraction form
   9,776/10,686 = 10,686/x
3. Step 3: Cross multiply
   9,776x = 10,686 × 10,686
4. Step 4: Simplify right side
   9,776x = 114,190,596
5. Step 5: Solve for x
   x = 114,190,596/9,776
6. Step 6: Final answer
   x = 11,680.71