Finding the Third Proportional to 82.31 and 97.31

Step by Step Solution

1. Step 1: Write the proportion equation
   82.31 : 97.31 = 97.31 : x
2. Step 2: Convert to fraction form
   82.31/97.31 = 97.31/x
3. Step 3: Cross multiply
   82.31x = 97.31 × 97.31
4. Step 4: Simplify right side
   82.31x = 9,469.72
5. Step 5: Solve for x
   x = 9,469.72/82.31
6. Step 6: Final answer
   x = 115.05