Finding the Third Proportional to 41,557.50 and 90,040.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,557.50 : 90,040.50 = 90,040.50 : x
2. Step 2: Convert to fraction form
   41,557.50/90,040.50 = 90,040.50/x
3. Step 3: Cross multiply
   41,557.50x = 90,040.50 × 90,040.50
4. Step 4: Simplify right side
   41,557.50x = 8,107,291,640.25
5. Step 5: Solve for x
   x = 8,107,291,640.25/41,557.50
6. Step 6: Final answer
   x = 195,086.13