Finding the Third Proportional to 9,268 and 12,782

Step by Step Solution

1. Step 1: Write the proportion equation
   9,268 : 12,782 = 12,782 : x
2. Step 2: Convert to fraction form
   9,268/12,782 = 12,782/x
3. Step 3: Cross multiply
   9,268x = 12,782 × 12,782
4. Step 4: Simplify right side
   9,268x = 163,379,524
5. Step 5: Solve for x
   x = 163,379,524/9,268
6. Step 6: Final answer
   x = 17,628.35