Finding the Third Proportional to 6,238 and 12,782

Step by Step Solution

1. Step 1: Write the proportion equation
   6,238 : 12,782 = 12,782 : x
2. Step 2: Convert to fraction form
   6,238/12,782 = 12,782/x
3. Step 3: Cross multiply
   6,238x = 12,782 × 12,782
4. Step 4: Simplify right side
   6,238x = 163,379,524
5. Step 5: Solve for x
   x = 163,379,524/6,238
6. Step 6: Final answer
   x = 26,191.01