Finding the Third Proportional to 4,176.50 and 5,626

Step by Step Solution

1. Step 1: Write the proportion equation
   4,176.50 : 5,626 = 5,626 : x
2. Step 2: Convert to fraction form
   4,176.50/5,626 = 5,626/x
3. Step 3: Cross multiply
   4,176.50x = 5,626 × 5,626
4. Step 4: Simplify right side
   4,176.50x = 31,651,876
5. Step 5: Solve for x
   x = 31,651,876/4,176.50
6. Step 6: Final answer
   x = 7,578.56