Finding the Third Proportional to 36.00 and 37.60

Step by Step Solution

1. Step 1: Write the proportion equation
   36.00 : 37.60 = 37.60 : x
2. Step 2: Convert to fraction form
   36.00/37.60 = 37.60/x
3. Step 3: Cross multiply
   36.00x = 37.60 × 37.60
4. Step 4: Simplify right side
   36.00x = 1,413.99
5. Step 5: Solve for x
   x = 1,413.99/36.00
6. Step 6: Final answer
   x = 39.28