Finding the Third Proportional to 449 and 1,053.50

Step by Step Solution

1. Step 1: Write the proportion equation
   449 : 1,053.50 = 1,053.50 : x
2. Step 2: Convert to fraction form
   449/1,053.50 = 1,053.50/x
3. Step 3: Cross multiply
   449x = 1,053.50 × 1,053.50
4. Step 4: Simplify right side
   449x = 1,109,862.25
5. Step 5: Solve for x
   x = 1,109,862.25/449
6. Step 6: Final answer
   x = 2,471.85