Finding the Third Proportional to 4,165.88 and 5,590.69

Step by Step Solution

1. Step 1: Write the proportion equation
   4,165.88 : 5,590.69 = 5,590.69 : x
2. Step 2: Convert to fraction form
   4,165.88/5,590.69 = 5,590.69/x
3. Step 3: Cross multiply
   4,165.88x = 5,590.69 × 5,590.69
4. Step 4: Simplify right side
   4,165.88x = 31,255,786.72
5. Step 5: Solve for x
   x = 31,255,786.72/4,165.88
6. Step 6: Final answer
   x = 7,502.81