Finding the Third Proportional to 6,587 and 10,424

Step by Step Solution

1. Step 1: Write the proportion equation
   6,587 : 10,424 = 10,424 : x
2. Step 2: Convert to fraction form
   6,587/10,424 = 10,424/x
3. Step 3: Cross multiply
   6,587x = 10,424 × 10,424
4. Step 4: Simplify right side
   6,587x = 108,659,776
5. Step 5: Solve for x
   x = 108,659,776/6,587
6. Step 6: Final answer
   x = 16,496.09