Finding the Third Proportional to 5,629.50 and 8,398.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,629.50 : 8,398.69 = 8,398.69 : x
2. Step 2: Convert to fraction form
   5,629.50/8,398.69 = 8,398.69/x
3. Step 3: Cross multiply
   5,629.50x = 8,398.69 × 8,398.69
4. Step 4: Simplify right side
   5,629.50x = 70,537,951.72
5. Step 5: Solve for x
   x = 70,537,951.72/5,629.50
6. Step 6: Final answer
   x = 12,530.06