Finding the Third Proportional to 5,204 and 10,616

Step by Step Solution

1. Step 1: Write the proportion equation
   5,204 : 10,616 = 10,616 : x
2. Step 2: Convert to fraction form
   5,204/10,616 = 10,616/x
3. Step 3: Cross multiply
   5,204x = 10,616 × 10,616
4. Step 4: Simplify right side
   5,204x = 112,699,456
5. Step 5: Solve for x
   x = 112,699,456/5,204
6. Step 6: Final answer
   x = 21,656.31