Finding the Third Proportional to 2,018 and 5,003

Step by Step Solution

1. Step 1: Write the proportion equation
   2,018 : 5,003 = 5,003 : x
2. Step 2: Convert to fraction form
   2,018/5,003 = 5,003/x
3. Step 3: Cross multiply
   2,018x = 5,003 × 5,003
4. Step 4: Simplify right side
   2,018x = 25,030,009
5. Step 5: Solve for x
   x = 25,030,009/2,018
6. Step 6: Final answer
   x = 12,403.37