Finding the Third Proportional to 16,204.50 and 25,764.75

Step by Step Solution

1. Step 1: Write the proportion equation
   16,204.50 : 25,764.75 = 25,764.75 : x
2. Step 2: Convert to fraction form
   16,204.50/25,764.75 = 25,764.75/x
3. Step 3: Cross multiply
   16,204.50x = 25,764.75 × 25,764.75
4. Step 4: Simplify right side
   16,204.50x = 663,822,342.56
5. Step 5: Solve for x
   x = 663,822,342.56/16,204.50
6. Step 6: Final answer
   x = 40,965.31