Finding the Third Proportional to 11.76 and 17.82

Step by Step Solution

1. Step 1: Write the proportion equation
   11.76 : 17.82 = 17.82 : x
2. Step 2: Convert to fraction form
   11.76/17.82 = 17.82/x
3. Step 3: Cross multiply
   11.76x = 17.82 × 17.82
4. Step 4: Simplify right side
   11.76x = 317.48
5. Step 5: Solve for x
   x = 317.48/11.76
6. Step 6: Final answer
   x = 27.00