Finding the Third Proportional to 3,984 and 8,404.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,984 : 8,404.50 = 8,404.50 : x
2. Step 2: Convert to fraction form
   3,984/8,404.50 = 8,404.50/x
3. Step 3: Cross multiply
   3,984x = 8,404.50 × 8,404.50
4. Step 4: Simplify right side
   3,984x = 70,635,620.25
5. Step 5: Solve for x
   x = 70,635,620.25/3,984
6. Step 6: Final answer
   x = 17,729.82