Finding the Third Proportional to 36.50 and 57.25

Step by Step Solution

1. Step 1: Write the proportion equation
   36.50 : 57.25 = 57.25 : x
2. Step 2: Convert to fraction form
   36.50/57.25 = 57.25/x
3. Step 3: Cross multiply
   36.50x = 57.25 × 57.25
4. Step 4: Simplify right side
   36.50x = 3,277.56
5. Step 5: Solve for x
   x = 3,277.56/36.50
6. Step 6: Final answer
   x = 89.80