Finding the Third Proportional to 6,906 and 13,398

Step by Step Solution

1. Step 1: Write the proportion equation
   6,906 : 13,398 = 13,398 : x
2. Step 2: Convert to fraction form
   6,906/13,398 = 13,398/x
3. Step 3: Cross multiply
   6,906x = 13,398 × 13,398
4. Step 4: Simplify right side
   6,906x = 179,506,404
5. Step 5: Solve for x
   x = 179,506,404/6,906
6. Step 6: Final answer
   x = 25,992.82