Finding the Third Proportional to 8,581.50 and 12,641.75

Step by Step Solution

1. Step 1: Write the proportion equation
   8,581.50 : 12,641.75 = 12,641.75 : x
2. Step 2: Convert to fraction form
   8,581.50/12,641.75 = 12,641.75/x
3. Step 3: Cross multiply
   8,581.50x = 12,641.75 × 12,641.75
4. Step 4: Simplify right side
   8,581.50x = 159,813,843.06
5. Step 5: Solve for x
   x = 159,813,843.06/8,581.50
6. Step 6: Final answer
   x = 18,623.07