Finding the Third Proportional to 27.71 and 42.65

Step by Step Solution

1. Step 1: Write the proportion equation
   27.71 : 42.65 = 42.65 : x
2. Step 2: Convert to fraction form
   27.71/42.65 = 42.65/x
3. Step 3: Cross multiply
   27.71x = 42.65 × 42.65
4. Step 4: Simplify right side
   27.71x = 1,818.86
5. Step 5: Solve for x
   x = 1,818.86/27.71
6. Step 6: Final answer
   x = 65.65