Finding the Third Proportional to 13,684 and 21,824

Step by Step Solution

1. Step 1: Write the proportion equation
   13,684 : 21,824 = 21,824 : x
2. Step 2: Convert to fraction form
   13,684/21,824 = 21,824/x
3. Step 3: Cross multiply
   13,684x = 21,824 × 21,824
4. Step 4: Simplify right side
   13,684x = 476,286,976
5. Step 5: Solve for x
   x = 476,286,976/13,684
6. Step 6: Final answer
   x = 34,806.12