Finding the Third Proportional to 27.76 and 34.17

Step by Step Solution

1. Step 1: Write the proportion equation
   27.76 : 34.17 = 34.17 : x
2. Step 2: Convert to fraction form
   27.76/34.17 = 34.17/x
3. Step 3: Cross multiply
   27.76x = 34.17 × 34.17
4. Step 4: Simplify right side
   27.76x = 1,167.72
5. Step 5: Solve for x
   x = 1,167.72/27.76
6. Step 6: Final answer
   x = 42.06