Finding the Third Proportional to 38.69 and 82.06

Step by Step Solution

1. Step 1: Write the proportion equation
   38.69 : 82.06 = 82.06 : x
2. Step 2: Convert to fraction form
   38.69/82.06 = 82.06/x
3. Step 3: Cross multiply
   38.69x = 82.06 × 82.06
4. Step 4: Simplify right side
   38.69x = 6,734.25
5. Step 5: Solve for x
   x = 6,734.25/38.69
6. Step 6: Final answer
   x = 174.07