Finding the Third Proportional to 2,850.19 and 4,012.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,850.19 : 4,012.31 = 4,012.31 : x
2. Step 2: Convert to fraction form
   2,850.19/4,012.31 = 4,012.31/x
3. Step 3: Cross multiply
   2,850.19x = 4,012.31 × 4,012.31
4. Step 4: Simplify right side
   2,850.19x = 16,098,651.60
5. Step 5: Solve for x
   x = 16,098,651.60/2,850.19
6. Step 6: Final answer
   x = 5,648.28