Finding the Third Proportional to 10.05 and 18.82

Step by Step Solution

1. Step 1: Write the proportion equation
   10.05 : 18.82 = 18.82 : x
2. Step 2: Convert to fraction form
   10.05/18.82 = 18.82/x
3. Step 3: Cross multiply
   10.05x = 18.82 × 18.82
4. Step 4: Simplify right side
   10.05x = 354.03
5. Step 5: Solve for x
   x = 354.03/10.05
6. Step 6: Final answer
   x = 35.23