Finding the Third Proportional to 1,540.69 and 3,388.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.69 : 3,388.31 = 3,388.31 : x
2. Step 2: Convert to fraction form
   1,540.69/3,388.31 = 3,388.31/x
3. Step 3: Cross multiply
   1,540.69x = 3,388.31 × 3,388.31
4. Step 4: Simplify right side
   1,540.69x = 11,480,661.60
5. Step 5: Solve for x
   x = 11,480,661.60/1,540.69
6. Step 6: Final answer
   x = 7,451.65