Finding the Third Proportional to 2,259.56 and 3,434.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,259.56 : 3,434.06 = 3,434.06 : x
2. Step 2: Convert to fraction form
   2,259.56/3,434.06 = 3,434.06/x
3. Step 3: Cross multiply
   2,259.56x = 3,434.06 × 3,434.06
4. Step 4: Simplify right side
   2,259.56x = 11,792,785.25
5. Step 5: Solve for x
   x = 11,792,785.25/2,259.56
6. Step 6: Final answer
   x = 5,219.06