Finding the Third Proportional to 38 and 103.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38 : 103.50 = 103.50 : x
2. Step 2: Convert to fraction form
   38/103.50 = 103.50/x
3. Step 3: Cross multiply
   38x = 103.50 × 103.50
4. Step 4: Simplify right side
   38x = 10,712.25
5. Step 5: Solve for x
   x = 10,712.25/38
6. Step 6: Final answer
   x = 281.90