Finding the Third Proportional to 3,817.83 and 5,590.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,817.83 : 5,590.27 = 5,590.27 : x
2. Step 2: Convert to fraction form
   3,817.83/5,590.27 = 5,590.27/x
3. Step 3: Cross multiply
   3,817.83x = 5,590.27 × 5,590.27
4. Step 4: Simplify right side
   3,817.83x = 31,251,069.76
5. Step 5: Solve for x
   x = 31,251,069.76/3,817.83
6. Step 6: Final answer
   x = 8,185.56