Finding the Third Proportional to 2,301.86 and 3,541.54

Step by Step Solution

1. Step 1: Write the proportion equation
   2,301.86 : 3,541.54 = 3,541.54 : x
2. Step 2: Convert to fraction form
   2,301.86/3,541.54 = 3,541.54/x
3. Step 3: Cross multiply
   2,301.86x = 3,541.54 × 3,541.54
4. Step 4: Simplify right side
   2,301.86x = 12,542,471.26
5. Step 5: Solve for x
   x = 12,542,471.26/2,301.86
6. Step 6: Final answer
   x = 5,448.85