Finding the Third Proportional to 12,789.75 and 19,731.38

Step by Step Solution

1. Step 1: Write the proportion equation
   12,789.75 : 19,731.38 = 19,731.38 : x
2. Step 2: Convert to fraction form
   12,789.75/19,731.38 = 19,731.38/x
3. Step 3: Cross multiply
   12,789.75x = 19,731.38 × 19,731.38
4. Step 4: Simplify right side
   12,789.75x = 389,327,159.39
5. Step 5: Solve for x
   x = 389,327,159.39/12,789.75
6. Step 6: Final answer
   x = 30,440.56