Finding the Third Proportional to 40.50 and 65.81

Step by Step Solution

1. Step 1: Write the proportion equation
   40.50 : 65.81 = 65.81 : x
2. Step 2: Convert to fraction form
   40.50/65.81 = 65.81/x
3. Step 3: Cross multiply
   40.50x = 65.81 × 65.81
4. Step 4: Simplify right side
   40.50x = 4,331.29
5. Step 5: Solve for x
   x = 4,331.29/40.50
6. Step 6: Final answer
   x = 106.95