Finding the Third Proportional to 12,965.06 and 19,819.69

Step by Step Solution

1. Step 1: Write the proportion equation
   12,965.06 : 19,819.69 = 19,819.69 : x
2. Step 2: Convert to fraction form
   12,965.06/19,819.69 = 19,819.69/x
3. Step 3: Cross multiply
   12,965.06x = 19,819.69 × 19,819.69
4. Step 4: Simplify right side
   12,965.06x = 392,820,012.60
5. Step 5: Solve for x
   x = 392,820,012.60/12,965.06
6. Step 6: Final answer
   x = 30,298.35