Finding the Third Proportional to 13,384 and 19,996

Step by Step Solution

1. Step 1: Write the proportion equation
   13,384 : 19,996 = 19,996 : x
2. Step 2: Convert to fraction form
   13,384/19,996 = 19,996/x
3. Step 3: Cross multiply
   13,384x = 19,996 × 19,996
4. Step 4: Simplify right side
   13,384x = 399,840,016
5. Step 5: Solve for x
   x = 399,840,016/13,384
6. Step 6: Final answer
   x = 29,874.48