Finding the Third Proportional to 9,666 and 10,962

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 10,962 = 10,962 : x
2. Step 2: Convert to fraction form
   9,666/10,962 = 10,962/x
3. Step 3: Cross multiply
   9,666x = 10,962 × 10,962
4. Step 4: Simplify right side
   9,666x = 120,165,444
5. Step 5: Solve for x
   x = 120,165,444/9,666
6. Step 6: Final answer
   x = 12,431.77