Finding the Third Proportional to 39.75 and 104.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39.75 : 104.50 = 104.50 : x
2. Step 2: Convert to fraction form
   39.75/104.50 = 104.50/x
3. Step 3: Cross multiply
   39.75x = 104.50 × 104.50
4. Step 4: Simplify right side
   39.75x = 10,920.25
5. Step 5: Solve for x
   x = 10,920.25/39.75
6. Step 6: Final answer
   x = 274.72