Finding the Third Proportional to 14,400 and 30,796

Step by Step Solution

1. Step 1: Write the proportion equation
   14,400 : 30,796 = 30,796 : x
2. Step 2: Convert to fraction form
   14,400/30,796 = 30,796/x
3. Step 3: Cross multiply
   14,400x = 30,796 × 30,796
4. Step 4: Simplify right side
   14,400x = 948,393,616
5. Step 5: Solve for x
   x = 948,393,616/14,400
6. Step 6: Final answer
   x = 65,860.67