Finding the Third Proportional to 6.64 and 13.82

Step by Step Solution

1. Step 1: Write the proportion equation
   6.64 : 13.82 = 13.82 : x
2. Step 2: Convert to fraction form
   6.64/13.82 = 13.82/x
3. Step 3: Cross multiply
   6.64x = 13.82 × 13.82
4. Step 4: Simplify right side
   6.64x = 190.89
5. Step 5: Solve for x
   x = 190.89/6.64
6. Step 6: Final answer
   x = 28.73