Finding the Third Proportional to 4,009.50 and 8,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,009.50 : 8,641.50 = 8,641.50 : x
2. Step 2: Convert to fraction form
   4,009.50/8,641.50 = 8,641.50/x
3. Step 3: Cross multiply
   4,009.50x = 8,641.50 × 8,641.50
4. Step 4: Simplify right side
   4,009.50x = 74,675,522.25
5. Step 5: Solve for x
   x = 74,675,522.25/4,009.50
6. Step 6: Final answer
   x = 18,624.65