Finding the Third Proportional to 3,409.59 and 5,282.72

Step by Step Solution

1. Step 1: Write the proportion equation
   3,409.59 : 5,282.72 = 5,282.72 : x
2. Step 2: Convert to fraction form
   3,409.59/5,282.72 = 5,282.72/x
3. Step 3: Cross multiply
   3,409.59x = 5,282.72 × 5,282.72
4. Step 4: Simplify right side
   3,409.59x = 27,907,117.39
5. Step 5: Solve for x
   x = 27,907,117.39/3,409.59
6. Step 6: Final answer
   x = 8,184.88