Finding the Third Proportional to 2,074.78 and 3,839.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.78 : 3,839.06 = 3,839.06 : x
2. Step 2: Convert to fraction form
   2,074.78/3,839.06 = 3,839.06/x
3. Step 3: Cross multiply
   2,074.78x = 3,839.06 × 3,839.06
4. Step 4: Simplify right side
   2,074.78x = 14,738,400.88
5. Step 5: Solve for x
   x = 14,738,400.88/2,074.78
6. Step 6: Final answer
   x = 7,103.59