Finding the Third Proportional to 2,314.83 and 3,585.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.83 : 3,585.09 = 3,585.09 : x
2. Step 2: Convert to fraction form
   2,314.83/3,585.09 = 3,585.09/x
3. Step 3: Cross multiply
   2,314.83x = 3,585.09 × 3,585.09
4. Step 4: Simplify right side
   2,314.83x = 12,852,897.20
5. Step 5: Solve for x
   x = 12,852,897.20/2,314.83
6. Step 6: Final answer
   x = 5,552.42