Finding the Third Proportional to 1,540.69 and 2,390.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.69 : 2,390.81 = 2,390.81 : x
2. Step 2: Convert to fraction form
   1,540.69/2,390.81 = 2,390.81/x
3. Step 3: Cross multiply
   1,540.69x = 2,390.81 × 2,390.81
4. Step 4: Simplify right side
   1,540.69x = 5,715,984.41
5. Step 5: Solve for x
   x = 5,715,984.41/1,540.69
6. Step 6: Final answer
   x = 3,710.02