Finding the Third Proportional to 9,600 and 12,912

Step by Step Solution

1. Step 1: Write the proportion equation
   9,600 : 12,912 = 12,912 : x
2. Step 2: Convert to fraction form
   9,600/12,912 = 12,912/x
3. Step 3: Cross multiply
   9,600x = 12,912 × 12,912
4. Step 4: Simplify right side
   9,600x = 166,719,744
5. Step 5: Solve for x
   x = 166,719,744/9,600
6. Step 6: Final answer
   x = 17,366.64