Finding the Third Proportional to 13,540 and 15,268

Step by Step Solution

1. Step 1: Write the proportion equation
   13,540 : 15,268 = 15,268 : x
2. Step 2: Convert to fraction form
   13,540/15,268 = 15,268/x
3. Step 3: Cross multiply
   13,540x = 15,268 × 15,268
4. Step 4: Simplify right side
   13,540x = 233,111,824
5. Step 5: Solve for x
   x = 233,111,824/13,540
6. Step 6: Final answer
   x = 17,216.53