Finding the Third Proportional to 9,819.38 and 13,882.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,819.38 : 13,882.88 = 13,882.88 : x
2. Step 2: Convert to fraction form
   9,819.38/13,882.88 = 13,882.88/x
3. Step 3: Cross multiply
   9,819.38x = 13,882.88 × 13,882.88
4. Step 4: Simplify right side
   9,819.38x = 192,734,218.27
5. Step 5: Solve for x
   x = 192,734,218.27/9,819.38
6. Step 6: Final answer
   x = 19,627.95