Finding the Third Proportional to 2,302.88 and 3,585.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,302.88 : 3,585.38 = 3,585.38 : x
2. Step 2: Convert to fraction form
   2,302.88/3,585.38 = 3,585.38/x
3. Step 3: Cross multiply
   2,302.88x = 3,585.38 × 3,585.38
4. Step 4: Simplify right side
   2,302.88x = 12,854,913.89
5. Step 5: Solve for x
   x = 12,854,913.89/2,302.88
6. Step 6: Final answer
   x = 5,582.12