Finding the Third Proportional to 3,884 and 5,498

Step by Step Solution

1. Step 1: Write the proportion equation
   3,884 : 5,498 = 5,498 : x
2. Step 2: Convert to fraction form
   3,884/5,498 = 5,498/x
3. Step 3: Cross multiply
   3,884x = 5,498 × 5,498
4. Step 4: Simplify right side
   3,884x = 30,228,004
5. Step 5: Solve for x
   x = 30,228,004/3,884
6. Step 6: Final answer
   x = 7,782.70