Finding the Third Proportional to 2,259.62 and 3,498.35

Step by Step Solution

1. Step 1: Write the proportion equation
   2,259.62 : 3,498.35 = 3,498.35 : x
2. Step 2: Convert to fraction form
   2,259.62/3,498.35 = 3,498.35/x
3. Step 3: Cross multiply
   2,259.62x = 3,498.35 × 3,498.35
4. Step 4: Simplify right side
   2,259.62x = 12,238,422.66
5. Step 5: Solve for x
   x = 12,238,422.66/2,259.62
6. Step 6: Final answer
   x = 5,416.15