Finding the Third Proportional to 16,024 and 25,600

Step by Step Solution

1. Step 1: Write the proportion equation
   16,024 : 25,600 = 25,600 : x
2. Step 2: Convert to fraction form
   16,024/25,600 = 25,600/x
3. Step 3: Cross multiply
   16,024x = 25,600 × 25,600
4. Step 4: Simplify right side
   16,024x = 655,360,000
5. Step 5: Solve for x
   x = 655,360,000/16,024
6. Step 6: Final answer
   x = 40,898.65