Finding the Third Proportional to 1,856.67 and 3,952.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.67 : 3,952.55 = 3,952.55 : x
2. Step 2: Convert to fraction form
   1,856.67/3,952.55 = 3,952.55/x
3. Step 3: Cross multiply
   1,856.67x = 3,952.55 × 3,952.55
4. Step 4: Simplify right side
   1,856.67x = 15,622,626.80
5. Step 5: Solve for x
   x = 15,622,626.80/1,856.67
6. Step 6: Final answer
   x = 8,414.32