Finding the Third Proportional to 38.81 and 55.27

Step by Step Solution

1. Step 1: Write the proportion equation
   38.81 : 55.27 = 55.27 : x
2. Step 2: Convert to fraction form
   38.81/55.27 = 55.27/x
3. Step 3: Cross multiply
   38.81x = 55.27 × 55.27
4. Step 4: Simplify right side
   38.81x = 3,054.29
5. Step 5: Solve for x
   x = 3,054.29/38.81
6. Step 6: Final answer
   x = 78.69