Finding the Third Proportional to 6,498 and 10,407

Step by Step Solution

1. Step 1: Write the proportion equation
   6,498 : 10,407 = 10,407 : x
2. Step 2: Convert to fraction form
   6,498/10,407 = 10,407/x
3. Step 3: Cross multiply
   6,498x = 10,407 × 10,407
4. Step 4: Simplify right side
   6,498x = 108,305,649
5. Step 5: Solve for x
   x = 108,305,649/6,498
6. Step 6: Final answer
   x = 16,667.54