Finding the Third Proportional to 2,800.69 and 4,213.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,800.69 : 4,213.69 = 4,213.69 : x
2. Step 2: Convert to fraction form
   2,800.69/4,213.69 = 4,213.69/x
3. Step 3: Cross multiply
   2,800.69x = 4,213.69 × 4,213.69
4. Step 4: Simplify right side
   2,800.69x = 17,755,162.35
5. Step 5: Solve for x
   x = 17,755,162.35/2,800.69
6. Step 6: Final answer
   x = 6,339.57