Finding the Third Proportional to 13,827 and 21,444

Step by Step Solution

1. Step 1: Write the proportion equation
   13,827 : 21,444 = 21,444 : x
2. Step 2: Convert to fraction form
   13,827/21,444 = 21,444/x
3. Step 3: Cross multiply
   13,827x = 21,444 × 21,444
4. Step 4: Simplify right side
   13,827x = 459,845,136
5. Step 5: Solve for x
   x = 459,845,136/13,827
6. Step 6: Final answer
   x = 33,257.04