Finding the Third Proportional to 6,596 and 13,498

Step by Step Solution

1. Step 1: Write the proportion equation
   6,596 : 13,498 = 13,498 : x
2. Step 2: Convert to fraction form
   6,596/13,498 = 13,498/x
3. Step 3: Cross multiply
   6,596x = 13,498 × 13,498
4. Step 4: Simplify right side
   6,596x = 182,196,004
5. Step 5: Solve for x
   x = 182,196,004/6,596
6. Step 6: Final answer
   x = 27,622.20