Finding the Third Proportional to 16,578 and 25,474.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,578 : 25,474.50 = 25,474.50 : x
2. Step 2: Convert to fraction form
   16,578/25,474.50 = 25,474.50/x
3. Step 3: Cross multiply
   16,578x = 25,474.50 × 25,474.50
4. Step 4: Simplify right side
   16,578x = 648,950,150.25
5. Step 5: Solve for x
   x = 648,950,150.25/16,578
6. Step 6: Final answer
   x = 39,145.26