Finding the Third Proportional to 6,200 and 12,856

Step by Step Solution

1. Step 1: Write the proportion equation
   6,200 : 12,856 = 12,856 : x
2. Step 2: Convert to fraction form
   6,200/12,856 = 12,856/x
3. Step 3: Cross multiply
   6,200x = 12,856 × 12,856
4. Step 4: Simplify right side
   6,200x = 165,276,736
5. Step 5: Solve for x
   x = 165,276,736/6,200
6. Step 6: Final answer
   x = 26,657.54