Finding the Third Proportional to 52.72 and 77.27

Step by Step Solution

1. Step 1: Write the proportion equation
   52.72 : 77.27 = 77.27 : x
2. Step 2: Convert to fraction form
   52.72/77.27 = 77.27/x
3. Step 3: Cross multiply
   52.72x = 77.27 × 77.27
4. Step 4: Simplify right side
   52.72x = 5,969.98
5. Step 5: Solve for x
   x = 5,969.98/52.72
6. Step 6: Final answer
   x = 113.24