Finding the Third Proportional to 1,819.97 and 2,647.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,819.97 : 2,647.69 = 2,647.69 : x
2. Step 2: Convert to fraction form
   1,819.97/2,647.69 = 2,647.69/x
3. Step 3: Cross multiply
   1,819.97x = 2,647.69 × 2,647.69
4. Step 4: Simplify right side
   1,819.97x = 7,010,249.10
5. Step 5: Solve for x
   x = 7,010,249.10/1,819.97
6. Step 6: Final answer
   x = 3,851.85