Finding the Third Proportional to 42.09 and 90.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42.09 : 90.75 = 90.75 : x
2. Step 2: Convert to fraction form
   42.09/90.75 = 90.75/x
3. Step 3: Cross multiply
   42.09x = 90.75 × 90.75
4. Step 4: Simplify right side
   42.09x = 8,235.56
5. Step 5: Solve for x
   x = 8,235.56/42.09
6. Step 6: Final answer
   x = 195.65