Finding the Third Proportional to 11,034 and 13,419

Step by Step Solution

1. Step 1: Write the proportion equation
   11,034 : 13,419 = 13,419 : x
2. Step 2: Convert to fraction form
   11,034/13,419 = 13,419/x
3. Step 3: Cross multiply
   11,034x = 13,419 × 13,419
4. Step 4: Simplify right side
   11,034x = 180,069,561
5. Step 5: Solve for x
   x = 180,069,561/11,034
6. Step 6: Final answer
   x = 16,319.52