Finding the Third Proportional to 53.38 and 82.81

Step by Step Solution

1. Step 1: Write the proportion equation
   53.38 : 82.81 = 82.81 : x
2. Step 2: Convert to fraction form
   53.38/82.81 = 82.81/x
3. Step 3: Cross multiply
   53.38x = 82.81 × 82.81
4. Step 4: Simplify right side
   53.38x = 6,857.91
5. Step 5: Solve for x
   x = 6,857.91/53.38
6. Step 6: Final answer
   x = 128.49