Finding the Third Proportional to 8,281.50 and 16,144.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,281.50 : 16,144.50 = 16,144.50 : x
2. Step 2: Convert to fraction form
   8,281.50/16,144.50 = 16,144.50/x
3. Step 3: Cross multiply
   8,281.50x = 16,144.50 × 16,144.50
4. Step 4: Simplify right side
   8,281.50x = 260,644,880.25
5. Step 5: Solve for x
   x = 260,644,880.25/8,281.50
6. Step 6: Final answer
   x = 31,473.15