Finding the Third Proportional to 1,049.81 and 1,509.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,049.81 : 1,509.38 = 1,509.38 : x
2. Step 2: Convert to fraction form
   1,049.81/1,509.38 = 1,509.38/x
3. Step 3: Cross multiply
   1,049.81x = 1,509.38 × 1,509.38
4. Step 4: Simplify right side
   1,049.81x = 2,278,212.89
5. Step 5: Solve for x
   x = 2,278,212.89/1,049.81
6. Step 6: Final answer
   x = 2,170.11