Finding the Third Proportional to 3,760.80 and 5,741.82

Step by Step Solution

1. Step 1: Write the proportion equation
   3,760.80 : 5,741.82 = 5,741.82 : x
2. Step 2: Convert to fraction form
   3,760.80/5,741.82 = 5,741.82/x
3. Step 3: Cross multiply
   3,760.80x = 5,741.82 × 5,741.82
4. Step 4: Simplify right side
   3,760.80x = 32,968,545.36
5. Step 5: Solve for x
   x = 32,968,545.36/3,760.80
6. Step 6: Final answer
   x = 8,766.35