Finding the Third Proportional to 11,869 and 14,032

Step by Step Solution

1. Step 1: Write the proportion equation
   11,869 : 14,032 = 14,032 : x
2. Step 2: Convert to fraction form
   11,869/14,032 = 14,032/x
3. Step 3: Cross multiply
   11,869x = 14,032 × 14,032
4. Step 4: Simplify right side
   11,869x = 196,897,024
5. Step 5: Solve for x
   x = 196,897,024/11,869
6. Step 6: Final answer
   x = 16,589.18