Finding the Third Proportional to 9,869 and 12,877

Step by Step Solution

1. Step 1: Write the proportion equation
   9,869 : 12,877 = 12,877 : x
2. Step 2: Convert to fraction form
   9,869/12,877 = 12,877/x
3. Step 3: Cross multiply
   9,869x = 12,877 × 12,877
4. Step 4: Simplify right side
   9,869x = 165,817,129
5. Step 5: Solve for x
   x = 165,817,129/9,869
6. Step 6: Final answer
   x = 16,801.82