Finding the Third Proportional to 10,769 and 16,123

Step by Step Solution

1. Step 1: Write the proportion equation
   10,769 : 16,123 = 16,123 : x
2. Step 2: Convert to fraction form
   10,769/16,123 = 16,123/x
3. Step 3: Cross multiply
   10,769x = 16,123 × 16,123
4. Step 4: Simplify right side
   10,769x = 259,951,129
5. Step 5: Solve for x
   x = 259,951,129/10,769
6. Step 6: Final answer
   x = 24,138.84