Finding the Third Proportional to 6,780 and 13,892

Step by Step Solution

1. Step 1: Write the proportion equation
   6,780 : 13,892 = 13,892 : x
2. Step 2: Convert to fraction form
   6,780/13,892 = 13,892/x
3. Step 3: Cross multiply
   6,780x = 13,892 × 13,892
4. Step 4: Simplify right side
   6,780x = 192,987,664
5. Step 5: Solve for x
   x = 192,987,664/6,780
6. Step 6: Final answer
   x = 28,464.26