Finding the Third Proportional to 3,640.50 and 8,557.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,640.50 : 8,557.25 = 8,557.25 : x
2. Step 2: Convert to fraction form
   3,640.50/8,557.25 = 8,557.25/x
3. Step 3: Cross multiply
   3,640.50x = 8,557.25 × 8,557.25
4. Step 4: Simplify right side
   3,640.50x = 73,226,527.56
5. Step 5: Solve for x
   x = 73,226,527.56/3,640.50
6. Step 6: Final answer
   x = 20,114.41