Finding the Third Proportional to 37.73 and 54.82

Step by Step Solution

1. Step 1: Write the proportion equation
   37.73 : 54.82 = 54.82 : x
2. Step 2: Convert to fraction form
   37.73/54.82 = 54.82/x
3. Step 3: Cross multiply
   37.73x = 54.82 × 54.82
4. Step 4: Simplify right side
   37.73x = 3,004.95
5. Step 5: Solve for x
   x = 3,004.95/37.73
6. Step 6: Final answer
   x = 79.64