Finding the Third Proportional to 2,477 and 5,116

Step by Step Solution

1. Step 1: Write the proportion equation
   2,477 : 5,116 = 5,116 : x
2. Step 2: Convert to fraction form
   2,477/5,116 = 5,116/x
3. Step 3: Cross multiply
   2,477x = 5,116 × 5,116
4. Step 4: Simplify right side
   2,477x = 26,173,456
5. Step 5: Solve for x
   x = 26,173,456/2,477
6. Step 6: Final answer
   x = 10,566.60