Finding the Third Proportional to 6.34 and 10.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6.34 : 10.82 = 10.82 : x
2. Step 2: Convert to fraction form
   6.34/10.82 = 10.82/x
3. Step 3: Cross multiply
   6.34x = 10.82 × 10.82
4. Step 4: Simplify right side
   6.34x = 117.01
5. Step 5: Solve for x
   x = 117.01/6.34
6. Step 6: Final answer
   x = 18.47