Finding the Third Proportional to 3,638.75 and 5,488.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.75 : 5,488.50 = 5,488.50 : x
2. Step 2: Convert to fraction form
   3,638.75/5,488.50 = 5,488.50/x
3. Step 3: Cross multiply
   3,638.75x = 5,488.50 × 5,488.50
4. Step 4: Simplify right side
   3,638.75x = 30,123,632.25
5. Step 5: Solve for x
   x = 30,123,632.25/3,638.75
6. Step 6: Final answer
   x = 8,278.57