Finding the Third Proportional to 36.50 and 85.38

Step by Step Solution

1. Step 1: Write the proportion equation
   36.50 : 85.38 = 85.38 : x
2. Step 2: Convert to fraction form
   36.50/85.38 = 85.38/x
3. Step 3: Cross multiply
   36.50x = 85.38 × 85.38
4. Step 4: Simplify right side
   36.50x = 7,288.89
5. Step 5: Solve for x
   x = 7,288.89/36.50
6. Step 6: Final answer
   x = 199.70