Finding the Third Proportional to 3,398.63 and 5,293.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,398.63 : 5,293.69 = 5,293.69 : x
2. Step 2: Convert to fraction form
   3,398.63/5,293.69 = 5,293.69/x
3. Step 3: Cross multiply
   3,398.63x = 5,293.69 × 5,293.69
4. Step 4: Simplify right side
   3,398.63x = 28,023,127.35
5. Step 5: Solve for x
   x = 28,023,127.35/3,398.63
6. Step 6: Final answer
   x = 8,245.43