Finding the Third Proportional to 2,808.50 and 4,470.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,808.50 : 4,470.75 = 4,470.75 : x
2. Step 2: Convert to fraction form
   2,808.50/4,470.75 = 4,470.75/x
3. Step 3: Cross multiply
   2,808.50x = 4,470.75 × 4,470.75
4. Step 4: Simplify right side
   2,808.50x = 19,987,605.56
5. Step 5: Solve for x
   x = 19,987,605.56/2,808.50
6. Step 6: Final answer
   x = 7,116.83