Finding the Third Proportional to 71.06 and 164.16

Step by Step Solution

1. Step 1: Write the proportion equation
   71.06 : 164.16 = 164.16 : x
2. Step 2: Convert to fraction form
   71.06/164.16 = 164.16/x
3. Step 3: Cross multiply
   71.06x = 164.16 × 164.16
4. Step 4: Simplify right side
   71.06x = 26,947.27
5. Step 5: Solve for x
   x = 26,947.27/71.06
6. Step 6: Final answer
   x = 379.21