Finding the Third Proportional to 82.83 and 164.06

Step by Step Solution

1. Step 1: Write the proportion equation
   82.83 : 164.06 = 164.06 : x
2. Step 2: Convert to fraction form
   82.83/164.06 = 164.06/x
3. Step 3: Cross multiply
   82.83x = 164.06 × 164.06
4. Step 4: Simplify right side
   82.83x = 26,916.50
5. Step 5: Solve for x
   x = 26,916.50/82.83
6. Step 6: Final answer
   x = 324.97