Finding the Third Proportional to 2,562.89 and 3,365.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.89 : 3,365.30 = 3,365.30 : x
2. Step 2: Convert to fraction form
   2,562.89/3,365.30 = 3,365.30/x
3. Step 3: Cross multiply
   2,562.89x = 3,365.30 × 3,365.30
4. Step 4: Simplify right side
   2,562.89x = 11,325,223.06
5. Step 5: Solve for x
   x = 11,325,223.06/2,562.89
6. Step 6: Final answer
   x = 4,418.93