Finding the Third Proportional to 27.94 and 37.31

Step by Step Solution

1. Step 1: Write the proportion equation
   27.94 : 37.31 = 37.31 : x
2. Step 2: Convert to fraction form
   27.94/37.31 = 37.31/x
3. Step 3: Cross multiply
   27.94x = 37.31 × 37.31
4. Step 4: Simplify right side
   27.94x = 1,392.22
5. Step 5: Solve for x
   x = 1,392.22/27.94
6. Step 6: Final answer
   x = 49.83