Finding the Third Proportional to 2,684.25 and 4,147.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.25 : 4,147.88 = 4,147.88 : x
2. Step 2: Convert to fraction form
   2,684.25/4,147.88 = 4,147.88/x
3. Step 3: Cross multiply
   2,684.25x = 4,147.88 × 4,147.88
4. Step 4: Simplify right side
   2,684.25x = 17,204,867.02
5. Step 5: Solve for x
   x = 17,204,867.02/2,684.25
6. Step 6: Final answer
   x = 6,409.56