Finding the Third Proportional to 3,855.25 and 8,284.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,855.25 : 8,284.06 = 8,284.06 : x
2. Step 2: Convert to fraction form
   3,855.25/8,284.06 = 8,284.06/x
3. Step 3: Cross multiply
   3,855.25x = 8,284.06 × 8,284.06
4. Step 4: Simplify right side
   3,855.25x = 68,625,691.50
5. Step 5: Solve for x
   x = 68,625,691.50/3,855.25
6. Step 6: Final answer
   x = 17,800.58