Finding the Third Proportional to 13,644 and 21,768

Step by Step Solution

1. Step 1: Write the proportion equation
   13,644 : 21,768 = 21,768 : x
2. Step 2: Convert to fraction form
   13,644/21,768 = 21,768/x
3. Step 3: Cross multiply
   13,644x = 21,768 × 21,768
4. Step 4: Simplify right side
   13,644x = 473,845,824
5. Step 5: Solve for x
   x = 473,845,824/13,644
6. Step 6: Final answer
   x = 34,729.25