Finding the Third Proportional to 2,585.25 and 3,467.81

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.25 : 3,467.81 = 3,467.81 : x
2. Step 2: Convert to fraction form
   2,585.25/3,467.81 = 3,467.81/x
3. Step 3: Cross multiply
   2,585.25x = 3,467.81 × 3,467.81
4. Step 4: Simplify right side
   2,585.25x = 12,025,723.54
5. Step 5: Solve for x
   x = 12,025,723.54/2,585.25
6. Step 6: Final answer
   x = 4,651.67