Finding the Third Proportional to 10,416 and 13,384

Step by Step Solution

1. Step 1: Write the proportion equation
   10,416 : 13,384 = 13,384 : x
2. Step 2: Convert to fraction form
   10,416/13,384 = 13,384/x
3. Step 3: Cross multiply
   10,416x = 13,384 × 13,384
4. Step 4: Simplify right side
   10,416x = 179,131,456
5. Step 5: Solve for x
   x = 179,131,456/10,416
6. Step 6: Final answer
   x = 17,197.72