Finding the Third Proportional to 5,123 and 10,846

Step by Step Solution

1. Step 1: Write the proportion equation
   5,123 : 10,846 = 10,846 : x
2. Step 2: Convert to fraction form
   5,123/10,846 = 10,846/x
3. Step 3: Cross multiply
   5,123x = 10,846 × 10,846
4. Step 4: Simplify right side
   5,123x = 117,635,716
5. Step 5: Solve for x
   x = 117,635,716/5,123
6. Step 6: Final answer
   x = 22,962.27