Finding the Third Proportional to 5,856 and 13,824

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856 : 13,824 = 13,824 : x
2. Step 2: Convert to fraction form
   5,856/13,824 = 13,824/x
3. Step 3: Cross multiply
   5,856x = 13,824 × 13,824
4. Step 4: Simplify right side
   5,856x = 191,102,976
5. Step 5: Solve for x
   x = 191,102,976/5,856
6. Step 6: Final answer
   x = 32,633.70