Finding the Third Proportional to 27.42 and 61.38

Step by Step Solution

1. Step 1: Write the proportion equation
   27.42 : 61.38 = 61.38 : x
2. Step 2: Convert to fraction form
   27.42/61.38 = 61.38/x
3. Step 3: Cross multiply
   27.42x = 61.38 × 61.38
4. Step 4: Simplify right side
   27.42x = 3,767.85
5. Step 5: Solve for x
   x = 3,767.85/27.42
6. Step 6: Final answer
   x = 137.40