Finding the Third Proportional to 41,019.50 and 96,580.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,019.50 : 96,580.75 = 96,580.75 : x
2. Step 2: Convert to fraction form
   41,019.50/96,580.75 = 96,580.75/x
3. Step 3: Cross multiply
   41,019.50x = 96,580.75 × 96,580.75
4. Step 4: Simplify right side
   41,019.50x = 9,327,841,270.56
5. Step 5: Solve for x
   x = 9,327,841,270.56/41,019.50
6. Step 6: Final answer
   x = 227,400.17