Finding the Third Proportional to 42.38 and 90.38

Step by Step Solution

1. Step 1: Write the proportion equation
   42.38 : 90.38 = 90.38 : x
2. Step 2: Convert to fraction form
   42.38/90.38 = 90.38/x
3. Step 3: Cross multiply
   42.38x = 90.38 × 90.38
4. Step 4: Simplify right side
   42.38x = 8,167.64
5. Step 5: Solve for x
   x = 8,167.64/42.38
6. Step 6: Final answer
   x = 192.75