Finding the Third Proportional to 3,826.69 and 5,910.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,826.69 : 5,910.55 = 5,910.55 : x
2. Step 2: Convert to fraction form
   3,826.69/5,910.55 = 5,910.55/x
3. Step 3: Cross multiply
   3,826.69x = 5,910.55 × 5,910.55
4. Step 4: Simplify right side
   3,826.69x = 34,934,575.91
5. Step 5: Solve for x
   x = 34,934,575.91/3,826.69
6. Step 6: Final answer
   x = 9,129.20