Finding the Third Proportional to 27.42 and 42.82

Step by Step Solution

1. Step 1: Write the proportion equation
   27.42 : 42.82 = 42.82 : x
2. Step 2: Convert to fraction form
   27.42/42.82 = 42.82/x
3. Step 3: Cross multiply
   27.42x = 42.82 × 42.82
4. Step 4: Simplify right side
   27.42x = 1,833.58
5. Step 5: Solve for x
   x = 1,833.58/27.42
6. Step 6: Final answer
   x = 66.87