Finding the Third Proportional to 3,926.25 and 8,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,926.25 : 8,257.50 = 8,257.50 : x
2. Step 2: Convert to fraction form
   3,926.25/8,257.50 = 8,257.50/x
3. Step 3: Cross multiply
   3,926.25x = 8,257.50 × 8,257.50
4. Step 4: Simplify right side
   3,926.25x = 68,186,306.25
5. Step 5: Solve for x
   x = 68,186,306.25/3,926.25
6. Step 6: Final answer
   x = 17,366.78