Finding the Third Proportional to 2,570.90 and 3,839.53

Step by Step Solution

1. Step 1: Write the proportion equation
   2,570.90 : 3,839.53 = 3,839.53 : x
2. Step 2: Convert to fraction form
   2,570.90/3,839.53 = 3,839.53/x
3. Step 3: Cross multiply
   2,570.90x = 3,839.53 × 3,839.53
4. Step 4: Simplify right side
   2,570.90x = 14,741,994.60
5. Step 5: Solve for x
   x = 14,741,994.60/2,570.90
6. Step 6: Final answer
   x = 5,734.18