Finding the Third Proportional to 9,666 and 12,909

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 12,909 = 12,909 : x
2. Step 2: Convert to fraction form
   9,666/12,909 = 12,909/x
3. Step 3: Cross multiply
   9,666x = 12,909 × 12,909
4. Step 4: Simplify right side
   9,666x = 166,642,281
5. Step 5: Solve for x
   x = 166,642,281/9,666
6. Step 6: Final answer
   x = 17,240.05