Finding the Third Proportional to 11.76 and 19.27

Step by Step Solution

1. Step 1: Write the proportion equation
   11.76 : 19.27 = 19.27 : x
2. Step 2: Convert to fraction form
   11.76/19.27 = 19.27/x
3. Step 3: Cross multiply
   11.76x = 19.27 × 19.27
4. Step 4: Simplify right side
   11.76x = 371.50
5. Step 5: Solve for x
   x = 371.50/11.76
6. Step 6: Final answer
   x = 31.59