Finding the Third Proportional to 16,365 and 25,600.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,365 : 25,600.50 = 25,600.50 : x
2. Step 2: Convert to fraction form
   16,365/25,600.50 = 25,600.50/x
3. Step 3: Cross multiply
   16,365x = 25,600.50 × 25,600.50
4. Step 4: Simplify right side
   16,365x = 655,385,600.25
5. Step 5: Solve for x
   x = 655,385,600.25/16,365
6. Step 6: Final answer
   x = 40,048.00