Finding the Third Proportional to 2,314.75 and 3,585.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,314.75 : 3,585.25 = 3,585.25 : x
2. Step 2: Convert to fraction form
   2,314.75/3,585.25 = 3,585.25/x
3. Step 3: Cross multiply
   2,314.75x = 3,585.25 × 3,585.25
4. Step 4: Simplify right side
   2,314.75x = 12,854,017.56
5. Step 5: Solve for x
   x = 12,854,017.56/2,314.75
6. Step 6: Final answer
   x = 5,553.09