Finding the Third Proportional to 9,589.50 and 20,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,589.50 : 20,866.50 = 20,866.50 : x
2. Step 2: Convert to fraction form
   9,589.50/20,866.50 = 20,866.50/x
3. Step 3: Cross multiply
   9,589.50x = 20,866.50 × 20,866.50
4. Step 4: Simplify right side
   9,589.50x = 435,410,822.25
5. Step 5: Solve for x
   x = 435,410,822.25/9,589.50
6. Step 6: Final answer
   x = 45,404.96