Finding the Third Proportional to 9,668 and 12,974

Step by Step Solution

1. Step 1: Write the proportion equation
   9,668 : 12,974 = 12,974 : x
2. Step 2: Convert to fraction form
   9,668/12,974 = 12,974/x
3. Step 3: Cross multiply
   9,668x = 12,974 × 12,974
4. Step 4: Simplify right side
   9,668x = 168,324,676
5. Step 5: Solve for x
   x = 168,324,676/9,668
6. Step 6: Final answer
   x = 17,410.50