Finding the Third Proportional to 82.50 and 96.38

Step by Step Solution

1. Step 1: Write the proportion equation
   82.50 : 96.38 = 96.38 : x
2. Step 2: Convert to fraction form
   82.50/96.38 = 96.38/x
3. Step 3: Cross multiply
   82.50x = 96.38 × 96.38
4. Step 4: Simplify right side
   82.50x = 9,288.14
5. Step 5: Solve for x
   x = 9,288.14/82.50
6. Step 6: Final answer
   x = 112.58