Finding the Third Proportional to 5,590.69 and 11,827.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,590.69 : 11,827.69 = 11,827.69 : x
2. Step 2: Convert to fraction form
   5,590.69/11,827.69 = 11,827.69/x
3. Step 3: Cross multiply
   5,590.69x = 11,827.69 × 11,827.69
4. Step 4: Simplify right side
   5,590.69x = 139,894,191.60
5. Step 5: Solve for x
   x = 139,894,191.60/5,590.69
6. Step 6: Final answer
   x = 25,022.72