Finding the Third Proportional to 67.50 and 82.31

Step by Step Solution

1. Step 1: Write the proportion equation
   67.50 : 82.31 = 82.31 : x
2. Step 2: Convert to fraction form
   67.50/82.31 = 82.31/x
3. Step 3: Cross multiply
   67.50x = 82.31 × 82.31
4. Step 4: Simplify right side
   67.50x = 6,775.35
5. Step 5: Solve for x
   x = 6,775.35/67.50
6. Step 6: Final answer
   x = 100.38