Finding the Third Proportional to 12,769.88 and 19,819.13

Step by Step Solution

1. Step 1: Write the proportion equation
   12,769.88 : 19,819.13 = 19,819.13 : x
2. Step 2: Convert to fraction form
   12,769.88/19,819.13 = 19,819.13/x
3. Step 3: Cross multiply
   12,769.88x = 19,819.13 × 19,819.13
4. Step 4: Simplify right side
   12,769.88x = 392,797,715.77
5. Step 5: Solve for x
   x = 392,797,715.77/12,769.88
6. Step 6: Final answer
   x = 30,759.72