Finding the Third Proportional to 10,404 and 14,323

Step by Step Solution

1. Step 1: Write the proportion equation
   10,404 : 14,323 = 14,323 : x
2. Step 2: Convert to fraction form
   10,404/14,323 = 14,323/x
3. Step 3: Cross multiply
   10,404x = 14,323 × 14,323
4. Step 4: Simplify right side
   10,404x = 205,148,329
5. Step 5: Solve for x
   x = 205,148,329/10,404
6. Step 6: Final answer
   x = 19,718.22