Finding the Third Proportional to 638 and 1,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   638 : 1,293.50 = 1,293.50 : x
2. Step 2: Convert to fraction form
   638/1,293.50 = 1,293.50/x
3. Step 3: Cross multiply
   638x = 1,293.50 × 1,293.50
4. Step 4: Simplify right side
   638x = 1,673,142.25
5. Step 5: Solve for x
   x = 1,673,142.25/638
6. Step 6: Final answer
   x = 2,622.48