Finding the Third Proportional to 1,540.27 and 3,374.79

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.27 : 3,374.79 = 3,374.79 : x
2. Step 2: Convert to fraction form
   1,540.27/3,374.79 = 3,374.79/x
3. Step 3: Cross multiply
   1,540.27x = 3,374.79 × 3,374.79
4. Step 4: Simplify right side
   1,540.27x = 11,389,201.22
5. Step 5: Solve for x
   x = 11,389,201.22/1,540.27
6. Step 6: Final answer
   x = 7,394.31