Finding the Third Proportional to 41,100.75 and 89,648.25

Step by Step Solution

1. Step 1: Write the proportion equation
   41,100.75 : 89,648.25 = 89,648.25 : x
2. Step 2: Convert to fraction form
   41,100.75/89,648.25 = 89,648.25/x
3. Step 3: Cross multiply
   41,100.75x = 89,648.25 × 89,648.25
4. Step 4: Simplify right side
   41,100.75x = 8,036,808,728.06
5. Step 5: Solve for x
   x = 8,036,808,728.06/41,100.75
6. Step 6: Final answer
   x = 195,539.22