Finding the Third Proportional to 41,581.50 and 90,270.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,581.50 : 90,270.75 = 90,270.75 : x
2. Step 2: Convert to fraction form
   41,581.50/90,270.75 = 90,270.75/x
3. Step 3: Cross multiply
   41,581.50x = 90,270.75 × 90,270.75
4. Step 4: Simplify right side
   41,581.50x = 8,148,808,305.56
5. Step 5: Solve for x
   x = 8,148,808,305.56/41,581.50
6. Step 6: Final answer
   x = 195,971.97