Finding the Third Proportional to 27.41 and 37.55

Step by Step Solution

1. Step 1: Write the proportion equation
   27.41 : 37.55 = 37.55 : x
2. Step 2: Convert to fraction form
   27.41/37.55 = 37.55/x
3. Step 3: Cross multiply
   27.41x = 37.55 × 37.55
4. Step 4: Simplify right side
   27.41x = 1,410.26
5. Step 5: Solve for x
   x = 1,410.26/27.41
6. Step 6: Final answer
   x = 51.45