Finding the Third Proportional to 82.78 and 94.78

Step by Step Solution

1. Step 1: Write the proportion equation
   82.78 : 94.78 = 94.78 : x
2. Step 2: Convert to fraction form
   82.78/94.78 = 94.78/x
3. Step 3: Cross multiply
   82.78x = 94.78 × 94.78
4. Step 4: Simplify right side
   82.78x = 8,983.49
5. Step 5: Solve for x
   x = 8,983.49/82.78
6. Step 6: Final answer
   x = 108.52