Finding the Third Proportional to 1,049.20 and 1,599.12

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.20 : 1,599.12 = 1,599.12 : x
2. Step 2: Convert to fraction form
   1,049.20/1,599.12 = 1,599.12/x
3. Step 3: Cross multiply
   1,049.20x = 1,599.12 × 1,599.12
4. Step 4: Simplify right side
   1,049.20x = 2,557,175.78
5. Step 5: Solve for x
   x = 2,557,175.78/1,049.20
6. Step 6: Final answer
   x = 2,437.26