Finding the Third Proportional to 2,570.50 and 2,840.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.50 : 2,840.50 = 2,840.50 : x
2. Step 2: Convert to fraction form
   2,570.50/2,840.50 = 2,840.50/x
3. Step 3: Cross multiply
   2,570.50x = 2,840.50 × 2,840.50
4. Step 4: Simplify right side
   2,570.50x = 8,068,440.25
5. Step 5: Solve for x
   x = 8,068,440.25/2,570.50
6. Step 6: Final answer
   x = 3,138.86