Finding the Third Proportional to 27.98 and 37.27

Step by Step Solution

1. Step 1: Write the proportion equation
   27.98 : 37.27 = 37.27 : x
2. Step 2: Convert to fraction form
   27.98/37.27 = 37.27/x
3. Step 3: Cross multiply
   27.98x = 37.27 × 37.27
4. Step 4: Simplify right side
   27.98x = 1,388.73
5. Step 5: Solve for x
   x = 1,388.73/27.98
6. Step 6: Final answer
   x = 49.63