Finding the Third Proportional to 82.69 and 173.81

Step by Step Solution

1. Step 1: Write the proportion equation
   82.69 : 173.81 = 173.81 : x
2. Step 2: Convert to fraction form
   82.69/173.81 = 173.81/x
3. Step 3: Cross multiply
   82.69x = 173.81 × 173.81
4. Step 4: Simplify right side
   82.69x = 30,210.79
5. Step 5: Solve for x
   x = 30,210.79/82.69
6. Step 6: Final answer
   x = 365.36