Finding the Third Proportional to 38.50 and 54.81

Step by Step Solution

1. Step 1: Write the proportion equation
   38.50 : 54.81 = 54.81 : x
2. Step 2: Convert to fraction form
   38.50/54.81 = 54.81/x
3. Step 3: Cross multiply
   38.50x = 54.81 × 54.81
4. Step 4: Simplify right side
   38.50x = 3,004.41
5. Step 5: Solve for x
   x = 3,004.41/38.50
6. Step 6: Final answer
   x = 78.04