Finding the Third Proportional to 42.75 and 65.63

Step by Step Solution

1. Step 1: Write the proportion equation
   42.75 : 65.63 = 65.63 : x
2. Step 2: Convert to fraction form
   42.75/65.63 = 65.63/x
3. Step 3: Cross multiply
   42.75x = 65.63 × 65.63
4. Step 4: Simplify right side
   42.75x = 4,306.64
5. Step 5: Solve for x
   x = 4,306.64/42.75
6. Step 6: Final answer
   x = 100.74