Finding the Third Proportional to 5,776 and 13,856

Step by Step Solution

1. Step 1: Write the proportion equation
   5,776 : 13,856 = 13,856 : x
2. Step 2: Convert to fraction form
   5,776/13,856 = 13,856/x
3. Step 3: Cross multiply
   5,776x = 13,856 × 13,856
4. Step 4: Simplify right side
   5,776x = 191,988,736
5. Step 5: Solve for x
   x = 191,988,736/5,776
6. Step 6: Final answer
   x = 33,239.05