Finding the Third Proportional to 42.25 and 65.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42.25 : 65.75 = 65.75 : x
2. Step 2: Convert to fraction form
   42.25/65.75 = 65.75/x
3. Step 3: Cross multiply
   42.25x = 65.75 × 65.75
4. Step 4: Simplify right side
   42.25x = 4,323.06
5. Step 5: Solve for x
   x = 4,323.06/42.25
6. Step 6: Final answer
   x = 102.32