Finding the Third Proportional to 3,796.24 and 5,943.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,796.24 : 5,943.38 = 5,943.38 : x
2. Step 2: Convert to fraction form
   3,796.24/5,943.38 = 5,943.38/x
3. Step 3: Cross multiply
   3,796.24x = 5,943.38 × 5,943.38
4. Step 4: Simplify right side
   3,796.24x = 35,323,706.39
5. Step 5: Solve for x
   x = 35,323,706.39/3,796.24
6. Step 6: Final answer
   x = 9,304.91