Finding the Third Proportional to 2,570 and 3,854

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570 : 3,854 = 3,854 : x
2. Step 2: Convert to fraction form
   2,570/3,854 = 3,854/x
3. Step 3: Cross multiply
   2,570x = 3,854 × 3,854
4. Step 4: Simplify right side
   2,570x = 14,853,316
5. Step 5: Solve for x
   x = 14,853,316/2,570
6. Step 6: Final answer
   x = 5,779.50