Finding the Third Proportional to 82.41 and 128.81

Step by Step Solution

1. Step 1: Write the proportion equation
   82.41 : 128.81 = 128.81 : x
2. Step 2: Convert to fraction form
   82.41/128.81 = 128.81/x
3. Step 3: Cross multiply
   82.41x = 128.81 × 128.81
4. Step 4: Simplify right side
   82.41x = 16,592.66
5. Step 5: Solve for x
   x = 16,592.66/82.41
6. Step 6: Final answer
   x = 201.35