Finding the Third Proportional to 13,872 and 21,508

Step by Step Solution

1. Step 1: Write the proportion equation
   13,872 : 21,508 = 21,508 : x
2. Step 2: Convert to fraction form
   13,872/21,508 = 21,508/x
3. Step 3: Cross multiply
   13,872x = 21,508 × 21,508
4. Step 4: Simplify right side
   13,872x = 462,594,064
5. Step 5: Solve for x
   x = 462,594,064/13,872
6. Step 6: Final answer
   x = 33,347.32