Finding the Third Proportional to 6,538 and 10,123

Step by Step Solution

1. Step 1: Write the proportion equation
   6,538 : 10,123 = 10,123 : x
2. Step 2: Convert to fraction form
   6,538/10,123 = 10,123/x
3. Step 3: Cross multiply
   6,538x = 10,123 × 10,123
4. Step 4: Simplify right side
   6,538x = 102,475,129
5. Step 5: Solve for x
   x = 102,475,129/6,538
6. Step 6: Final answer
   x = 15,673.77