Finding the Third Proportional to 41,006.25 and 89,727.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,006.25 : 89,727.75 = 89,727.75 : x
2. Step 2: Convert to fraction form
   41,006.25/89,727.75 = 89,727.75/x
3. Step 3: Cross multiply
   41,006.25x = 89,727.75 × 89,727.75
4. Step 4: Simplify right side
   41,006.25x = 8,051,069,120.06
5. Step 5: Solve for x
   x = 8,051,069,120.06/41,006.25
6. Step 6: Final answer
   x = 196,337.61