Finding the Third Proportional to 2,874.71 and 4,517.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,874.71 : 4,517.09 = 4,517.09 : x
2. Step 2: Convert to fraction form
   2,874.71/4,517.09 = 4,517.09/x
3. Step 3: Cross multiply
   2,874.71x = 4,517.09 × 4,517.09
4. Step 4: Simplify right side
   2,874.71x = 20,404,144.77
5. Step 5: Solve for x
   x = 20,404,144.77/2,874.71
6. Step 6: Final answer
   x = 7,097.81