Finding the Third Proportional to 2,585.67 and 3,380.17

Step by Step Solution

1. Step 1: Write the proportion equation
   2,585.67 : 3,380.17 = 3,380.17 : x
2. Step 2: Convert to fraction form
   2,585.67/3,380.17 = 3,380.17/x
3. Step 3: Cross multiply
   2,585.67x = 3,380.17 × 3,380.17
4. Step 4: Simplify right side
   2,585.67x = 11,425,535.50
5. Step 5: Solve for x
   x = 11,425,535.50/2,585.67
6. Step 6: Final answer
   x = 4,418.79