Finding the Third Proportional to 13,824 and 22,144

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 22,144 = 22,144 : x
2. Step 2: Convert to fraction form
   13,824/22,144 = 22,144/x
3. Step 3: Cross multiply
   13,824x = 22,144 × 22,144
4. Step 4: Simplify right side
   13,824x = 490,356,736
5. Step 5: Solve for x
   x = 490,356,736/13,824
6. Step 6: Final answer
   x = 35,471.41