Finding the Third Proportional to 16,569 and 25,645.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,569 : 25,645.50 = 25,645.50 : x
2. Step 2: Convert to fraction form
   16,569/25,645.50 = 25,645.50/x
3. Step 3: Cross multiply
   16,569x = 25,645.50 × 25,645.50
4. Step 4: Simplify right side
   16,569x = 657,691,670.25
5. Step 5: Solve for x
   x = 657,691,670.25/16,569
6. Step 6: Final answer
   x = 39,694.11