Finding the Third Proportional to 54.38 and 77.31

Step by Step Solution

1. Step 1: Write the proportion equation
   54.38 : 77.31 = 77.31 : x
2. Step 2: Convert to fraction form
   54.38/77.31 = 77.31/x
3. Step 3: Cross multiply
   54.38x = 77.31 × 77.31
4. Step 4: Simplify right side
   54.38x = 5,977.22
5. Step 5: Solve for x
   x = 5,977.22/54.38
6. Step 6: Final answer
   x = 109.93