Finding the Third Proportional to 3,756.38 and 5,839.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,756.38 : 5,839.38 = 5,839.38 : x
2. Step 2: Convert to fraction form
   3,756.38/5,839.38 = 5,839.38/x
3. Step 3: Cross multiply
   3,756.38x = 5,839.38 × 5,839.38
4. Step 4: Simplify right side
   3,756.38x = 34,098,391.63
5. Step 5: Solve for x
   x = 34,098,391.63/3,756.38
6. Step 6: Final answer
   x = 9,077.47