Finding the Third Proportional to 1,044.14 and 1,618.73

Step by Step Solution

1. Step 1: Write the proportion equation
   1,044.14 : 1,618.73 = 1,618.73 : x
2. Step 2: Convert to fraction form
   1,044.14/1,618.73 = 1,618.73/x
3. Step 3: Cross multiply
   1,044.14x = 1,618.73 × 1,618.73
4. Step 4: Simplify right side
   1,044.14x = 2,620,300.98
5. Step 5: Solve for x
   x = 2,620,300.98/1,044.14
6. Step 6: Final answer
   x = 2,509.53