Finding the Third Proportional to 5,856 and 12,696

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856 : 12,696 = 12,696 : x
2. Step 2: Convert to fraction form
   5,856/12,696 = 12,696/x
3. Step 3: Cross multiply
   5,856x = 12,696 × 12,696
4. Step 4: Simplify right side
   5,856x = 161,188,416
5. Step 5: Solve for x
   x = 161,188,416/5,856
6. Step 6: Final answer
   x = 27,525.34