Finding the Third Proportional to 2,597.06 and 3,434.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,597.06 : 3,434.27 = 3,434.27 : x
2. Step 2: Convert to fraction form
   2,597.06/3,434.27 = 3,434.27/x
3. Step 3: Cross multiply
   2,597.06x = 3,434.27 × 3,434.27
4. Step 4: Simplify right side
   2,597.06x = 11,794,234.04
5. Step 5: Solve for x
   x = 11,794,234.04/2,597.06
6. Step 6: Final answer
   x = 4,541.37