Finding the Third Proportional to 42.84 and 57.12

Step by Step Solution

1. Step 1: Write the proportion equation
   42.84 : 57.12 = 57.12 : x
2. Step 2: Convert to fraction form
   42.84/57.12 = 57.12/x
3. Step 3: Cross multiply
   42.84x = 57.12 × 57.12
4. Step 4: Simplify right side
   42.84x = 3,262.60
5. Step 5: Solve for x
   x = 3,262.60/42.84
6. Step 6: Final answer
   x = 76.16