Finding the Third Proportional to 6,386 and 12,754

Step by Step Solution

1. Step 1: Write the proportion equation
   6,386 : 12,754 = 12,754 : x
2. Step 2: Convert to fraction form
   6,386/12,754 = 12,754/x
3. Step 3: Cross multiply
   6,386x = 12,754 × 12,754
4. Step 4: Simplify right side
   6,386x = 162,664,516
5. Step 5: Solve for x
   x = 162,664,516/6,386
6. Step 6: Final answer
   x = 25,472.05