Finding the Third Proportional to 6,597 and 13,383

Step by Step Solution

1. Step 1: Write the proportion equation
   6,597 : 13,383 = 13,383 : x
2. Step 2: Convert to fraction form
   6,597/13,383 = 13,383/x
3. Step 3: Cross multiply
   6,597x = 13,383 × 13,383
4. Step 4: Simplify right side
   6,597x = 179,104,689
5. Step 5: Solve for x
   x = 179,104,689/6,597
6. Step 6: Final answer
   x = 27,149.41