Finding the Third Proportional to 1,491.75 and 1,920.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,491.75 : 1,920.09 = 1,920.09 : x
2. Step 2: Convert to fraction form
   1,491.75/1,920.09 = 1,920.09/x
3. Step 3: Cross multiply
   1,491.75x = 1,920.09 × 1,920.09
4. Step 4: Simplify right side
   1,491.75x = 3,686,760.01
5. Step 5: Solve for x
   x = 3,686,760.01/1,491.75
6. Step 6: Final answer
   x = 2,471.43