Finding the Third Proportional to 2,585.67 and 3,884.20

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.67 : 3,884.20 = 3,884.20 : x
2. Step 2: Convert to fraction form
   2,585.67/3,884.20 = 3,884.20/x
3. Step 3: Cross multiply
   2,585.67x = 3,884.20 × 3,884.20
4. Step 4: Simplify right side
   2,585.67x = 15,087,033.92
5. Step 5: Solve for x
   x = 15,087,033.92/2,585.67
6. Step 6: Final answer
   x = 5,834.86