Finding the Third Proportional to 13,882 and 21,502

Step by Step Solution

1. Step 1: Write the proportion equation
   13,882 : 21,502 = 21,502 : x
2. Step 2: Convert to fraction form
   13,882/21,502 = 21,502/x
3. Step 3: Cross multiply
   13,882x = 21,502 × 21,502
4. Step 4: Simplify right side
   13,882x = 462,336,004
5. Step 5: Solve for x
   x = 462,336,004/13,882
6. Step 6: Final answer
   x = 33,304.71