Finding the Third Proportional to 5,116 and 10,796

Step by Step Solution

1. Step 1: Write the proportion equation
   5,116 : 10,796 = 10,796 : x
2. Step 2: Convert to fraction form
   5,116/10,796 = 10,796/x
3. Step 3: Cross multiply
   5,116x = 10,796 × 10,796
4. Step 4: Simplify right side
   5,116x = 116,553,616
5. Step 5: Solve for x
   x = 116,553,616/5,116
6. Step 6: Final answer
   x = 22,782.18