Finding the Third Proportional to 6,782 and 10,481

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782 : 10,481 = 10,481 : x
2. Step 2: Convert to fraction form
   6,782/10,481 = 10,481/x
3. Step 3: Cross multiply
   6,782x = 10,481 × 10,481
4. Step 4: Simplify right side
   6,782x = 109,851,361
5. Step 5: Solve for x
   x = 109,851,361/6,782
6. Step 6: Final answer
   x = 16,197.49