Finding the Third Proportional to 9,666 and 16,614

Step by Step Solution

1. Step 1: Write the proportion equation
   9,666 : 16,614 = 16,614 : x
2. Step 2: Convert to fraction form
   9,666/16,614 = 16,614/x
3. Step 3: Cross multiply
   9,666x = 16,614 × 16,614
4. Step 4: Simplify right side
   9,666x = 276,024,996
5. Step 5: Solve for x
   x = 276,024,996/9,666
6. Step 6: Final answer
   x = 28,556.28