Finding the Third Proportional to 42.38 and 90.87

Step by Step Solution

1. Step 1: Write the proportion equation
   42.38 : 90.87 = 90.87 : x
2. Step 2: Convert to fraction form
   42.38/90.87 = 90.87/x
3. Step 3: Cross multiply
   42.38x = 90.87 × 90.87
4. Step 4: Simplify right side
   42.38x = 8,256.85
5. Step 5: Solve for x
   x = 8,256.85/42.38
6. Step 6: Final answer
   x = 194.85