Finding the Third Proportional to 13,824 and 23,256

Step by Step Solution

1. Step 1: Write the proportion equation
   13,824 : 23,256 = 23,256 : x
2. Step 2: Convert to fraction form
   13,824/23,256 = 23,256/x
3. Step 3: Cross multiply
   13,824x = 23,256 × 23,256
4. Step 4: Simplify right side
   13,824x = 540,841,536
5. Step 5: Solve for x
   x = 540,841,536/13,824
6. Step 6: Final answer
   x = 39,123.38