Finding the Third Proportional to 2,305.41 and 3,454.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,305.41 : 3,454.31 = 3,454.31 : x
2. Step 2: Convert to fraction form
   2,305.41/3,454.31 = 3,454.31/x
3. Step 3: Cross multiply
   2,305.41x = 3,454.31 × 3,454.31
4. Step 4: Simplify right side
   2,305.41x = 11,932,274.85
5. Step 5: Solve for x
   x = 11,932,274.85/2,305.41
6. Step 6: Final answer
   x = 5,175.78