Finding the Third Proportional to 10,723 and 16,495

Step by Step Solution

1. Step 1: Write the proportion equation
   10,723 : 16,495 = 16,495 : x
2. Step 2: Convert to fraction form
   10,723/16,495 = 16,495/x
3. Step 3: Cross multiply
   10,723x = 16,495 × 16,495
4. Step 4: Simplify right side
   10,723x = 272,085,025
5. Step 5: Solve for x
   x = 272,085,025/10,723
6. Step 6: Final answer
   x = 25,373.96