Finding the Third Proportional to 6,520.50 and 16,078.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,520.50 : 16,078.50 = 16,078.50 : x
2. Step 2: Convert to fraction form
   6,520.50/16,078.50 = 16,078.50/x
3. Step 3: Cross multiply
   6,520.50x = 16,078.50 × 16,078.50
4. Step 4: Simplify right side
   6,520.50x = 258,518,162.25
5. Step 5: Solve for x
   x = 258,518,162.25/6,520.50
6. Step 6: Final answer
   x = 39,646.98