Finding the Third Proportional to 6,512 and 10,424

Step by Step Solution

1. Step 1: Write the proportion equation
   6,512 : 10,424 = 10,424 : x
2. Step 2: Convert to fraction form
   6,512/10,424 = 10,424/x
3. Step 3: Cross multiply
   6,512x = 10,424 × 10,424
4. Step 4: Simplify right side
   6,512x = 108,659,776
5. Step 5: Solve for x
   x = 108,659,776/6,512
6. Step 6: Final answer
   x = 16,686.08