Finding the Third Proportional to 4,760 and 11,123

Step by Step Solution

1. Step 1: Write the proportion equation
   4,760 : 11,123 = 11,123 : x
2. Step 2: Convert to fraction form
   4,760/11,123 = 11,123/x
3. Step 3: Cross multiply
   4,760x = 11,123 × 11,123
4. Step 4: Simplify right side
   4,760x = 123,721,129
5. Step 5: Solve for x
   x = 123,721,129/4,760
6. Step 6: Final answer
   x = 25,991.83