Finding the Third Proportional to 6,412 and 10,252

Step by Step Solution

1. Step 1: Write the proportion equation
   6,412 : 10,252 = 10,252 : x
2. Step 2: Convert to fraction form
   6,412/10,252 = 10,252/x
3. Step 3: Cross multiply
   6,412x = 10,252 × 10,252
4. Step 4: Simplify right side
   6,412x = 105,103,504
5. Step 5: Solve for x
   x = 105,103,504/6,412
6. Step 6: Final answer
   x = 16,391.69