Finding the Third Proportional to 42.00 and 90.41

Step by Step Solution

1. Step 1: Write the proportion equation
   42.00 : 90.41 = 90.41 : x
2. Step 2: Convert to fraction form
   42.00/90.41 = 90.41/x
3. Step 3: Cross multiply
   42.00x = 90.41 × 90.41
4. Step 4: Simplify right side
   42.00x = 8,174.53
5. Step 5: Solve for x
   x = 8,174.53/42.00
6. Step 6: Final answer
   x = 194.62