Finding the Third Proportional to 3,763.13 and 5,745.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,763.13 : 5,745.38 = 5,745.38 : x
2. Step 2: Convert to fraction form
   3,763.13/5,745.38 = 5,745.38/x
3. Step 3: Cross multiply
   3,763.13x = 5,745.38 × 5,745.38
4. Step 4: Simplify right side
   3,763.13x = 33,009,333.89
5. Step 5: Solve for x
   x = 33,009,333.89/3,763.13
6. Step 6: Final answer
   x = 8,771.79