Finding the Third Proportional to 5,468 and 13,019

Step by Step Solution

1. Step 1: Write the proportion equation
   5,468 : 13,019 = 13,019 : x
2. Step 2: Convert to fraction form
   5,468/13,019 = 13,019/x
3. Step 3: Cross multiply
   5,468x = 13,019 × 13,019
4. Step 4: Simplify right side
   5,468x = 169,494,361
5. Step 5: Solve for x
   x = 169,494,361/5,468
6. Step 6: Final answer
   x = 30,997.51