Finding the Third Proportional to 9,892 and 12,838

Step by Step Solution

1. Step 1: Write the proportion equation
   9,892 : 12,838 = 12,838 : x
2. Step 2: Convert to fraction form
   9,892/12,838 = 12,838/x
3. Step 3: Cross multiply
   9,892x = 12,838 × 12,838
4. Step 4: Simplify right side
   9,892x = 164,814,244
5. Step 5: Solve for x
   x = 164,814,244/9,892
6. Step 6: Final answer
   x = 16,661.37