Finding the Third Proportional to 10,616 and 12,856

Step by Step Solution

1. Step 1: Write the proportion equation
   10,616 : 12,856 = 12,856 : x
2. Step 2: Convert to fraction form
   10,616/12,856 = 12,856/x
3. Step 3: Cross multiply
   10,616x = 12,856 × 12,856
4. Step 4: Simplify right side
   10,616x = 165,276,736
5. Step 5: Solve for x
   x = 165,276,736/10,616
6. Step 6: Final answer
   x = 15,568.65