Finding the Third Proportional to 10,723 and 16,494

Step by Step Solution

1. Step 1: Write the proportion equation
   10,723 : 16,494 = 16,494 : x
2. Step 2: Convert to fraction form
   10,723/16,494 = 16,494/x
3. Step 3: Cross multiply
   10,723x = 16,494 × 16,494
4. Step 4: Simplify right side
   10,723x = 272,052,036
5. Step 5: Solve for x
   x = 272,052,036/10,723
6. Step 6: Final answer
   x = 25,370.89