Finding the Third Proportional to 2,255.91 and 3,365.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,255.91 : 3,365.16 = 3,365.16 : x
2. Step 2: Convert to fraction form
   2,255.91/3,365.16 = 3,365.16/x
3. Step 3: Cross multiply
   2,255.91x = 3,365.16 × 3,365.16
4. Step 4: Simplify right side
   2,255.91x = 11,324,276.59
5. Step 5: Solve for x
   x = 11,324,276.59/2,255.91
6. Step 6: Final answer
   x = 5,019.83