Finding the Third Proportional to 81.69 and 164.88

Step by Step Solution

1. Step 1: Write the proportion equation
   81.69 : 164.88 = 164.88 : x
2. Step 2: Convert to fraction form
   81.69/164.88 = 164.88/x
3. Step 3: Cross multiply
   81.69x = 164.88 × 164.88
4. Step 4: Simplify right side
   81.69x = 27,183.77
5. Step 5: Solve for x
   x = 27,183.77/81.69
6. Step 6: Final answer
   x = 332.78