Finding the Third Proportional to 42.75 and 65.81

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 65.81 = 65.81 : x
2. Step 2: Convert to fraction form
   42.75/65.81 = 65.81/x
3. Step 3: Cross multiply
   42.75x = 65.81 × 65.81
4. Step 4: Simplify right side
   42.75x = 4,331.29
5. Step 5: Solve for x
   x = 4,331.29/42.75
6. Step 6: Final answer
   x = 101.32