Finding the Third Proportional to 5,200 and 10,831

Step by Step Solution

1. Step 1: Write the proportion equation
   5,200 : 10,831 = 10,831 : x
2. Step 2: Convert to fraction form
   5,200/10,831 = 10,831/x
3. Step 3: Cross multiply
   5,200x = 10,831 × 10,831
4. Step 4: Simplify right side
   5,200x = 117,310,561
5. Step 5: Solve for x
   x = 117,310,561/5,200
6. Step 6: Final answer
   x = 22,559.72