Finding the Third Proportional to 4,177 and 5,839.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,177 : 5,839.50 = 5,839.50 : x
2. Step 2: Convert to fraction form
   4,177/5,839.50 = 5,839.50/x
3. Step 3: Cross multiply
   4,177x = 5,839.50 × 5,839.50
4. Step 4: Simplify right side
   4,177x = 34,099,760.25
5. Step 5: Solve for x
   x = 34,099,760.25/4,177
6. Step 6: Final answer
   x = 8,163.70