Finding the Third Proportional to 6,821.50 and 10,257.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,821.50 : 10,257.50 = 10,257.50 : x
2. Step 2: Convert to fraction form
   6,821.50/10,257.50 = 10,257.50/x
3. Step 3: Cross multiply
   6,821.50x = 10,257.50 × 10,257.50
4. Step 4: Simplify right side
   6,821.50x = 105,216,306.25
5. Step 5: Solve for x
   x = 105,216,306.25/6,821.50
6. Step 6: Final answer
   x = 15,424.22