Finding the Third Proportional to 41,163.75 and 85,557.38

Step by Step Solution

1. Step 1: Write the proportion equation
   41,163.75 : 85,557.38 = 85,557.38 : x
2. Step 2: Convert to fraction form
   41,163.75/85,557.38 = 85,557.38/x
3. Step 3: Cross multiply
   41,163.75x = 85,557.38 × 85,557.38
4. Step 4: Simplify right side
   41,163.75x = 7,320,064,416.89
5. Step 5: Solve for x
   x = 7,320,064,416.89/41,163.75
6. Step 6: Final answer
   x = 177,827.93