Finding the Third Proportional to 41,511.50 and 89,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,511.50 : 89,583.50 = 89,583.50 : x
2. Step 2: Convert to fraction form
   41,511.50/89,583.50 = 89,583.50/x
3. Step 3: Cross multiply
   41,511.50x = 89,583.50 × 89,583.50
4. Step 4: Simplify right side
   41,511.50x = 8,025,203,472.25
5. Step 5: Solve for x
   x = 8,025,203,472.25/41,511.50
6. Step 6: Final answer
   x = 193,324.82