Finding the Third Proportional to 27.38 and 40.69

Step by Step Solution

1. Step 1: Write the proportion equation
   27.38 : 40.69 = 40.69 : x
2. Step 2: Convert to fraction form
   27.38/40.69 = 40.69/x
3. Step 3: Cross multiply
   27.38x = 40.69 × 40.69
4. Step 4: Simplify right side
   27.38x = 1,655.47
5. Step 5: Solve for x
   x = 1,655.47/27.38
6. Step 6: Final answer
   x = 60.47