Finding the Third Proportional to 42.38 and 89.72

Step by Step Solution

1. Step 1: Write the proportion equation
   42.38 : 89.72 = 89.72 : x
2. Step 2: Convert to fraction form
   42.38/89.72 = 89.72/x
3. Step 3: Cross multiply
   42.38x = 89.72 × 89.72
4. Step 4: Simplify right side
   42.38x = 8,049.45
5. Step 5: Solve for x
   x = 8,049.45/42.38
6. Step 6: Final answer
   x = 189.96