Finding the Third Proportional to 5,120 and 10,853

Step by Step Solution

1. Step 1: Write the proportion equation
   5,120 : 10,853 = 10,853 : x
2. Step 2: Convert to fraction form
   5,120/10,853 = 10,853/x
3. Step 3: Cross multiply
   5,120x = 10,853 × 10,853
4. Step 4: Simplify right side
   5,120x = 117,787,609
5. Step 5: Solve for x
   x = 117,787,609/5,120
6. Step 6: Final answer
   x = 23,005.39