Finding the Third Proportional to 8,464.50 and 18,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,464.50 : 18,569.50 = 18,569.50 : x
2. Step 2: Convert to fraction form
   8,464.50/18,569.50 = 18,569.50/x
3. Step 3: Cross multiply
   8,464.50x = 18,569.50 × 18,569.50
4. Step 4: Simplify right side
   8,464.50x = 344,826,330.25
5. Step 5: Solve for x
   x = 344,826,330.25/8,464.50
6. Step 6: Final answer
   x = 40,737.94