Finding the Third Proportional to 12,404 and 19,966

Step by Step Solution

1. Step 1: Write the proportion equation
   12,404 : 19,966 = 19,966 : x
2. Step 2: Convert to fraction form
   12,404/19,966 = 19,966/x
3. Step 3: Cross multiply
   12,404x = 19,966 × 19,966
4. Step 4: Simplify right side
   12,404x = 398,641,156
5. Step 5: Solve for x
   x = 398,641,156/12,404
6. Step 6: Final answer
   x = 32,138.11