Finding the Third Proportional to 7,538 and 13,456

Step by Step Solution

1. Step 1: Write the proportion equation
   7,538 : 13,456 = 13,456 : x
2. Step 2: Convert to fraction form
   7,538/13,456 = 13,456/x
3. Step 3: Cross multiply
   7,538x = 13,456 × 13,456
4. Step 4: Simplify right side
   7,538x = 181,063,936
5. Step 5: Solve for x
   x = 181,063,936/7,538
6. Step 6: Final answer
   x = 24,020.16