Finding the Third Proportional to 9,744.75 and 20,819.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.75 : 20,819.25 = 20,819.25 : x
2. Step 2: Convert to fraction form
   9,744.75/20,819.25 = 20,819.25/x
3. Step 3: Cross multiply
   9,744.75x = 20,819.25 × 20,819.25
4. Step 4: Simplify right side
   9,744.75x = 433,441,170.56
5. Step 5: Solve for x
   x = 433,441,170.56/9,744.75
6. Step 6: Final answer
   x = 44,479.46