Finding the Third Proportional to 8,081.50 and 12,851.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,081.50 : 12,851.50 = 12,851.50 : x
2. Step 2: Convert to fraction form
   8,081.50/12,851.50 = 12,851.50/x
3. Step 3: Cross multiply
   8,081.50x = 12,851.50 × 12,851.50
4. Step 4: Simplify right side
   8,081.50x = 165,161,052.25
5. Step 5: Solve for x
   x = 165,161,052.25/8,081.50
6. Step 6: Final answer
   x = 20,436.93