Finding the Third Proportional to 85.50 and 95.25

Step by Step Solution

1. Step 1: Write the proportion equation
   85.50 : 95.25 = 95.25 : x
2. Step 2: Convert to fraction form
   85.50/95.25 = 95.25/x
3. Step 3: Cross multiply
   85.50x = 95.25 × 95.25
4. Step 4: Simplify right side
   85.50x = 9,072.56
5. Step 5: Solve for x
   x = 9,072.56/85.50
6. Step 6: Final answer
   x = 106.11