Finding the Third Proportional to 13,404 and 17,414

Step by Step Solution

1. Step 1: Write the proportion equation
   13,404 : 17,414 = 17,414 : x
2. Step 2: Convert to fraction form
   13,404/17,414 = 17,414/x
3. Step 3: Cross multiply
   13,404x = 17,414 × 17,414
4. Step 4: Simplify right side
   13,404x = 303,247,396
5. Step 5: Solve for x
   x = 303,247,396/13,404
6. Step 6: Final answer
   x = 22,623.65