Finding the Third Proportional to 16,539.75 and 25,627.50

Step by Step Solution

1. Step 1: Write the proportion equation
   16,539.75 : 25,627.50 = 25,627.50 : x
2. Step 2: Convert to fraction form
   16,539.75/25,627.50 = 25,627.50/x
3. Step 3: Cross multiply
   16,539.75x = 25,627.50 × 25,627.50
4. Step 4: Simplify right side
   16,539.75x = 656,768,756.25
5. Step 5: Solve for x
   x = 656,768,756.25/16,539.75
6. Step 6: Final answer
   x = 39,708.51