Finding the Third Proportional to 2,003 and 4,852

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003 : 4,852 = 4,852 : x
2. Step 2: Convert to fraction form
   2,003/4,852 = 4,852/x
3. Step 3: Cross multiply
   2,003x = 4,852 × 4,852
4. Step 4: Simplify right side
   2,003x = 23,541,904
5. Step 5: Solve for x
   x = 23,541,904/2,003
6. Step 6: Final answer
   x = 11,753.32