Finding the Third Proportional to 9,456 and 12,816

Step by Step Solution

1. Step 1: Write the proportion equation
   9,456 : 12,816 = 12,816 : x
2. Step 2: Convert to fraction form
   9,456/12,816 = 12,816/x
3. Step 3: Cross multiply
   9,456x = 12,816 × 12,816
4. Step 4: Simplify right side
   9,456x = 164,249,856
5. Step 5: Solve for x
   x = 164,249,856/9,456
6. Step 6: Final answer
   x = 17,369.91