Finding the Third Proportional to 40.50 and 103.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40.50 : 103.75 = 103.75 : x
2. Step 2: Convert to fraction form
   40.50/103.75 = 103.75/x
3. Step 3: Cross multiply
   40.50x = 103.75 × 103.75
4. Step 4: Simplify right side
   40.50x = 10,764.06
5. Step 5: Solve for x
   x = 10,764.06/40.50
6. Step 6: Final answer
   x = 265.78