Finding the Third Proportional to 10,596 and 17,718

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596 : 17,718 = 17,718 : x
2. Step 2: Convert to fraction form
   10,596/17,718 = 17,718/x
3. Step 3: Cross multiply
   10,596x = 17,718 × 17,718
4. Step 4: Simplify right side
   10,596x = 313,927,524
5. Step 5: Solve for x
   x = 313,927,524/10,596
6. Step 6: Final answer
   x = 29,626.98