Finding the Third Proportional to 89.72 and 135.38

Step by Step Solution

1. Step 1: Write the proportion equation
   89.72 : 135.38 = 135.38 : x
2. Step 2: Convert to fraction form
   89.72/135.38 = 135.38/x
3. Step 3: Cross multiply
   89.72x = 135.38 × 135.38
4. Step 4: Simplify right side
   89.72x = 18,326.39
5. Step 5: Solve for x
   x = 18,326.39/89.72
6. Step 6: Final answer
   x = 204.26