Finding the Third Proportional to 42.16 and 65.42

Step by Step Solution

1. Step 1: Write the proportion equation
   42.16 : 65.42 = 65.42 : x
2. Step 2: Convert to fraction form
   42.16/65.42 = 65.42/x
3. Step 3: Cross multiply
   42.16x = 65.42 × 65.42
4. Step 4: Simplify right side
   42.16x = 4,279.38
5. Step 5: Solve for x
   x = 4,279.38/42.16
6. Step 6: Final answer
   x = 101.50