Finding the Third Proportional to 6,892 and 13,688

Step by Step Solution

1. Step 1: Write the proportion equation
   6,892 : 13,688 = 13,688 : x
2. Step 2: Convert to fraction form
   6,892/13,688 = 13,688/x
3. Step 3: Cross multiply
   6,892x = 13,688 × 13,688
4. Step 4: Simplify right side
   6,892x = 187,361,344
5. Step 5: Solve for x
   x = 187,361,344/6,892
6. Step 6: Final answer
   x = 27,185.34