Finding the Third Proportional to 14,400 and 30,816

Step by Step Solution

1. Step 1: Write the proportion equation
   14,400 : 30,816 = 30,816 : x
2. Step 2: Convert to fraction form
   14,400/30,816 = 30,816/x
3. Step 3: Cross multiply
   14,400x = 30,816 × 30,816
4. Step 4: Simplify right side
   14,400x = 949,625,856
5. Step 5: Solve for x
   x = 949,625,856/14,400
6. Step 6: Final answer
   x = 65,946.24