Finding the Third Proportional to 11,589 and 12,693

Step by Step Solution

1. Step 1: Write the proportion equation
   11,589 : 12,693 = 12,693 : x
2. Step 2: Convert to fraction form
   11,589/12,693 = 12,693/x
3. Step 3: Cross multiply
   11,589x = 12,693 × 12,693
4. Step 4: Simplify right side
   11,589x = 161,112,249
5. Step 5: Solve for x
   x = 161,112,249/11,589
6. Step 6: Final answer
   x = 13,902.17