Finding the Third Proportional to 13,824 and 21,345

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 21,345 = 21,345 : x
2. Step 2: Convert to fraction form
   13,824/21,345 = 21,345/x
3. Step 3: Cross multiply
   13,824x = 21,345 × 21,345
4. Step 4: Simplify right side
   13,824x = 455,609,025
5. Step 5: Solve for x
   x = 455,609,025/13,824
6. Step 6: Final answer
   x = 32,957.83