Finding the Third Proportional to 2,188.69 and 4,321.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,188.69 : 4,321.69 = 4,321.69 : x
2. Step 2: Convert to fraction form
   2,188.69/4,321.69 = 4,321.69/x
3. Step 3: Cross multiply
   2,188.69x = 4,321.69 × 4,321.69
4. Step 4: Simplify right side
   2,188.69x = 18,676,982.85
5. Step 5: Solve for x
   x = 18,676,982.85/2,188.69
6. Step 6: Final answer
   x = 8,533.42