Finding the Third Proportional to 1,540.13 and 3,294.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,540.13 : 3,294.56 = 3,294.56 : x
2. Step 2: Convert to fraction form
   1,540.13/3,294.56 = 3,294.56/x
3. Step 3: Cross multiply
   1,540.13x = 3,294.56 × 3,294.56
4. Step 4: Simplify right side
   1,540.13x = 10,854,142.07
5. Step 5: Solve for x
   x = 10,854,142.07/1,540.13
6. Step 6: Final answer
   x = 7,047.57