Finding the Third Proportional to 3,804 and 5,328

Step by Step Solution

1. Step 1: Write the proportion equation
   3,804 : 5,328 = 5,328 : x
2. Step 2: Convert to fraction form
   3,804/5,328 = 5,328/x
3. Step 3: Cross multiply
   3,804x = 5,328 × 5,328
4. Step 4: Simplify right side
   3,804x = 28,387,584
5. Step 5: Solve for x
   x = 28,387,584/3,804
6. Step 6: Final answer
   x = 7,462.56