Finding the Third Proportional to 10,400 and 17,456

Step by Step Solution

1. Step 1: Write the proportion equation
   10,400 : 17,456 = 17,456 : x
2. Step 2: Convert to fraction form
   10,400/17,456 = 17,456/x
3. Step 3: Cross multiply
   10,400x = 17,456 × 17,456
4. Step 4: Simplify right side
   10,400x = 304,711,936
5. Step 5: Solve for x
   x = 304,711,936/10,400
6. Step 6: Final answer
   x = 29,299.22