Finding the Third Proportional to 53.27 and 77.05

Step by Step Solution

1. Step 1: Write the proportion equation
   53.27 : 77.05 = 77.05 : x
2. Step 2: Convert to fraction form
   53.27/77.05 = 77.05/x
3. Step 3: Cross multiply
   53.27x = 77.05 × 77.05
4. Step 4: Simplify right side
   53.27x = 5,936.31
5. Step 5: Solve for x
   x = 5,936.31/53.27
6. Step 6: Final answer
   x = 111.44