Finding the Third Proportional to 9,496 and 12,768

Step by Step Solution

1. Step 1: Write the proportion equation
   9,496 : 12,768 = 12,768 : x
2. Step 2: Convert to fraction form
   9,496/12,768 = 12,768/x
3. Step 3: Cross multiply
   9,496x = 12,768 × 12,768
4. Step 4: Simplify right side
   9,496x = 163,021,824
5. Step 5: Solve for x
   x = 163,021,824/9,496
6. Step 6: Final answer
   x = 17,167.42