Finding the Third Proportional to 3,200.06 and 4,314.09

Step by Step Solution

1. Step 1: Write the proportion equation
   3,200.06 : 4,314.09 = 4,314.09 : x
2. Step 2: Convert to fraction form
   3,200.06/4,314.09 = 4,314.09/x
3. Step 3: Cross multiply
   3,200.06x = 4,314.09 × 4,314.09
4. Step 4: Simplify right side
   3,200.06x = 18,611,404.88
5. Step 5: Solve for x
   x = 18,611,404.88/3,200.06
6. Step 6: Final answer
   x = 5,815.95