Finding the Third Proportional to 21.75 and 52.56

Step by Step Solution

1. Step 1: Write the proportion equation
   21.75 : 52.56 = 52.56 : x
2. Step 2: Convert to fraction form
   21.75/52.56 = 52.56/x
3. Step 3: Cross multiply
   21.75x = 52.56 × 52.56
4. Step 4: Simplify right side
   21.75x = 2,762.82
5. Step 5: Solve for x
   x = 2,762.82/21.75
6. Step 6: Final answer
   x = 127.03