Finding the Third Proportional to 38.91 and 82.31

Step by Step Solution

1. Step 1: Write the proportion equation
   38.91 : 82.31 = 82.31 : x
2. Step 2: Convert to fraction form
   38.91/82.31 = 82.31/x
3. Step 3: Cross multiply
   38.91x = 82.31 × 82.31
4. Step 4: Simplify right side
   38.91x = 6,775.35
5. Step 5: Solve for x
   x = 6,775.35/38.91
6. Step 6: Final answer
   x = 174.15