Finding the Third Proportional to 11,643 and 12,723

Step by Step Solution

1. Step 1: Write the proportion equation
   11,643 : 12,723 = 12,723 : x
2. Step 2: Convert to fraction form
   11,643/12,723 = 12,723/x
3. Step 3: Cross multiply
   11,643x = 12,723 × 12,723
4. Step 4: Simplify right side
   11,643x = 161,874,729
5. Step 5: Solve for x
   x = 161,874,729/11,643
6. Step 6: Final answer
   x = 13,903.18