Finding the Third Proportional to 2,816.25 and 4,309.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,816.25 : 4,309.88 = 4,309.88 : x
2. Step 2: Convert to fraction form
   2,816.25/4,309.88 = 4,309.88/x
3. Step 3: Cross multiply
   2,816.25x = 4,309.88 × 4,309.88
4. Step 4: Simplify right side
   2,816.25x = 18,575,022.52
5. Step 5: Solve for x
   x = 18,575,022.52/2,816.25
6. Step 6: Final answer
   x = 6,595.66