Finding the Third Proportional to 82.83 and 169.03

Step by Step Solution

1. Step 1: Write the proportion equation
   82.83 : 169.03 = 169.03 : x
2. Step 2: Convert to fraction form
   82.83/169.03 = 169.03/x
3. Step 3: Cross multiply
   82.83x = 169.03 × 169.03
4. Step 4: Simplify right side
   82.83x = 28,571.56
5. Step 5: Solve for x
   x = 28,571.56/82.83
6. Step 6: Final answer
   x = 344.95