Finding the Third Proportional to 16,000 and 25,564

Step by Step Solution

1. Step 1: Write the proportion equation
   16,000 : 25,564 = 25,564 : x
2. Step 2: Convert to fraction form
   16,000/25,564 = 25,564/x
3. Step 3: Cross multiply
   16,000x = 25,564 × 25,564
4. Step 4: Simplify right side
   16,000x = 653,518,096
5. Step 5: Solve for x
   x = 653,518,096/16,000
6. Step 6: Final answer
   x = 40,844.88