Finding the Third Proportional to 42.75 and 101.02

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 101.02 = 101.02 : x
2. Step 2: Convert to fraction form
   42.75/101.02 = 101.02/x
3. Step 3: Cross multiply
   42.75x = 101.02 × 101.02
4. Step 4: Simplify right side
   42.75x = 10,204.16
5. Step 5: Solve for x
   x = 10,204.16/42.75
6. Step 6: Final answer
   x = 238.69