Finding the Third Proportional to 4,137 and 5,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,137 : 5,488.50 = 5,488.50 : x
2. Step 2: Convert to fraction form
   4,137/5,488.50 = 5,488.50/x
3. Step 3: Cross multiply
   4,137x = 5,488.50 × 5,488.50
4. Step 4: Simplify right side
   4,137x = 30,123,632.25
5. Step 5: Solve for x
   x = 30,123,632.25/4,137
6. Step 6: Final answer
   x = 7,281.52