Finding the Third Proportional to 13,434 and 17,727

Step by Step Solution

1. Step 1: Write the proportion equation
   13,434 : 17,727 = 17,727 : x
2. Step 2: Convert to fraction form
   13,434/17,727 = 17,727/x
3. Step 3: Cross multiply
   13,434x = 17,727 × 17,727
4. Step 4: Simplify right side
   13,434x = 314,246,529
5. Step 5: Solve for x
   x = 314,246,529/13,434
6. Step 6: Final answer
   x = 23,391.88