Finding the Third Proportional to 9,768 and 10,677

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 10,677 = 10,677 : x
2. Step 2: Convert to fraction form
   9,768/10,677 = 10,677/x
3. Step 3: Cross multiply
   9,768x = 10,677 × 10,677
4. Step 4: Simplify right side
   9,768x = 113,998,329
5. Step 5: Solve for x
   x = 113,998,329/9,768
6. Step 6: Final answer
   x = 11,670.59