Finding the Third Proportional to 8,269 and 10,123

Step by Step Solution

1. Step 1: Write the proportion equation
   8,269 : 10,123 = 10,123 : x
2. Step 2: Convert to fraction form
   8,269/10,123 = 10,123/x
3. Step 3: Cross multiply
   8,269x = 10,123 × 10,123
4. Step 4: Simplify right side
   8,269x = 102,475,129
5. Step 5: Solve for x
   x = 102,475,129/8,269
6. Step 6: Final answer
   x = 12,392.69