Finding the Third Proportional to 2,590.42 and 3,490.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,590.42 : 3,490.75 = 3,490.75 : x
2. Step 2: Convert to fraction form
   2,590.42/3,490.75 = 3,490.75/x
3. Step 3: Cross multiply
   2,590.42x = 3,490.75 × 3,490.75
4. Step 4: Simplify right side
   2,590.42x = 12,185,349.20
5. Step 5: Solve for x
   x = 12,185,349.20/2,590.42
6. Step 6: Final answer
   x = 4,704.01