Finding the Third Proportional to 2,815.59 and 4,213.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,815.59 : 4,213.27 = 4,213.27 : x
2. Step 2: Convert to fraction form
   2,815.59/4,213.27 = 4,213.27/x
3. Step 3: Cross multiply
   2,815.59x = 4,213.27 × 4,213.27
4. Step 4: Simplify right side
   2,815.59x = 17,751,607.23
5. Step 5: Solve for x
   x = 17,751,607.23/2,815.59
6. Step 6: Final answer
   x = 6,304.75