Finding the Third Proportional to 12,693 and 19,849.50

Step by Step Solution

1. Step 1: Write the proportion equation
   12,693 : 19,849.50 = 19,849.50 : x
2. Step 2: Convert to fraction form
   12,693/19,849.50 = 19,849.50/x
3. Step 3: Cross multiply
   12,693x = 19,849.50 × 19,849.50
4. Step 4: Simplify right side
   12,693x = 394,002,650.25
5. Step 5: Solve for x
   x = 394,002,650.25/12,693
6. Step 6: Final answer
   x = 31,040.94