Finding the Third Proportional to 2,003 and 5,328

Step by Step Solution

1. Step 1: Write the proportion equation
   2,003 : 5,328 = 5,328 : x
2. Step 2: Convert to fraction form
   2,003/5,328 = 5,328/x
3. Step 3: Cross multiply
   2,003x = 5,328 × 5,328
4. Step 4: Simplify right side
   2,003x = 28,387,584
5. Step 5: Solve for x
   x = 28,387,584/2,003
6. Step 6: Final answer
   x = 14,172.53