Finding the Third Proportional to 89.69 and 128.06

Step by Step Solution

1. Step 1: Write the proportion equation
   89.69 : 128.06 = 128.06 : x
2. Step 2: Convert to fraction form
   89.69/128.06 = 128.06/x
3. Step 3: Cross multiply
   89.69x = 128.06 × 128.06
4. Step 4: Simplify right side
   89.69x = 16,400.00
5. Step 5: Solve for x
   x = 16,400.00/89.69
6. Step 6: Final answer
   x = 182.86