Finding the Third Proportional to 8,020.50 and 12,582.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,020.50 : 12,582.75 = 12,582.75 : x
2. Step 2: Convert to fraction form
   8,020.50/12,582.75 = 12,582.75/x
3. Step 3: Cross multiply
   8,020.50x = 12,582.75 × 12,582.75
4. Step 4: Simplify right side
   8,020.50x = 158,325,597.56
5. Step 5: Solve for x
   x = 158,325,597.56/8,020.50
6. Step 6: Final answer
   x = 19,740.12