Finding the Third Proportional to 9,744.75 and 20,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.75 : 20,119.50 = 20,119.50 : x
2. Step 2: Convert to fraction form
   9,744.75/20,119.50 = 20,119.50/x
3. Step 3: Cross multiply
   9,744.75x = 20,119.50 × 20,119.50
4. Step 4: Simplify right side
   9,744.75x = 404,794,280.25
5. Step 5: Solve for x
   x = 404,794,280.25/9,744.75
6. Step 6: Final answer
   x = 41,539.73