Finding the Third Proportional to 2,578.50 and 5,710.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,578.50 : 5,710.50 = 5,710.50 : x
2. Step 2: Convert to fraction form
   2,578.50/5,710.50 = 5,710.50/x
3. Step 3: Cross multiply
   2,578.50x = 5,710.50 × 5,710.50
4. Step 4: Simplify right side
   2,578.50x = 32,609,810.25
5. Step 5: Solve for x
   x = 32,609,810.25/2,578.50
6. Step 6: Final answer
   x = 12,646.81