Finding the Third Proportional to 16,400 and 25,296

Step by Step Solution

1. Step 1: Write the proportion equation
   16,400 : 25,296 = 25,296 : x
2. Step 2: Convert to fraction form
   16,400/25,296 = 25,296/x
3. Step 3: Cross multiply
   16,400x = 25,296 × 25,296
4. Step 4: Simplify right side
   16,400x = 639,887,616
5. Step 5: Solve for x
   x = 639,887,616/16,400
6. Step 6: Final answer
   x = 39,017.54