Finding the Third Proportional to 96.29 and 128.46

Step by Step Solution

1. Step 1: Write the proportion equation
   96.29 : 128.46 = 128.46 : x
2. Step 2: Convert to fraction form
   96.29/128.46 = 128.46/x
3. Step 3: Cross multiply
   96.29x = 128.46 × 128.46
4. Step 4: Simplify right side
   96.29x = 16,502.21
5. Step 5: Solve for x
   x = 16,502.21/96.29
6. Step 6: Final answer
   x = 171.38