Finding the Third Proportional to 9,660 and 12,614

Step by Step Solution

1. Step 1: Write the proportion equation
   9,660 : 12,614 = 12,614 : x
2. Step 2: Convert to fraction form
   9,660/12,614 = 12,614/x
3. Step 3: Cross multiply
   9,660x = 12,614 × 12,614
4. Step 4: Simplify right side
   9,660x = 159,112,996
5. Step 5: Solve for x
   x = 159,112,996/9,660
6. Step 6: Final answer
   x = 16,471.32