Finding the Third Proportional to 5,786 and 13,616

Step by Step Solution

1. Step 1: Write the proportion equation
   5,786 : 13,616 = 13,616 : x
2. Step 2: Convert to fraction form
   5,786/13,616 = 13,616/x
3. Step 3: Cross multiply
   5,786x = 13,616 × 13,616
4. Step 4: Simplify right side
   5,786x = 185,395,456
5. Step 5: Solve for x
   x = 185,395,456/5,786
6. Step 6: Final answer
   x = 32,042.08