Finding the Third Proportional to 16,006.50 and 25,571.25

Step by Step Solution

1. Step 1: Write the proportion equation
   16,006.50 : 25,571.25 = 25,571.25 : x
2. Step 2: Convert to fraction form
   16,006.50/25,571.25 = 25,571.25/x
3. Step 3: Cross multiply
   16,006.50x = 25,571.25 × 25,571.25
4. Step 4: Simplify right side
   16,006.50x = 653,888,826.56
5. Step 5: Solve for x
   x = 653,888,826.56/16,006.50
6. Step 6: Final answer
   x = 40,851.46