Finding the Third Proportional to 53.16 and 82.27

Step by Step Solution

1. Step 1: Write the proportion equation
   53.16 : 82.27 = 82.27 : x
2. Step 2: Convert to fraction form
   53.16/82.27 = 82.27/x
3. Step 3: Cross multiply
   53.16x = 82.27 × 82.27
4. Step 4: Simplify right side
   53.16x = 6,767.63
5. Step 5: Solve for x
   x = 6,767.63/53.16
6. Step 6: Final answer
   x = 127.32