Finding the Third Proportional to 3,858.19 and 5,761.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,858.19 : 5,761.69 = 5,761.69 : x
2. Step 2: Convert to fraction form
   3,858.19/5,761.69 = 5,761.69/x
3. Step 3: Cross multiply
   3,858.19x = 5,761.69 × 5,761.69
4. Step 4: Simplify right side
   3,858.19x = 33,197,042.85
5. Step 5: Solve for x
   x = 33,197,042.85/3,858.19
6. Step 6: Final answer
   x = 8,604.31