Finding the Third Proportional to 10.34 and 11.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10.34 : 11.82 = 11.82 : x
2. Step 2: Convert to fraction form
   10.34/11.82 = 11.82/x
3. Step 3: Cross multiply
   10.34x = 11.82 × 11.82
4. Step 4: Simplify right side
   10.34x = 139.61
5. Step 5: Solve for x
   x = 139.61/10.34
6. Step 6: Final answer
   x = 13.50