Finding the Third Proportional to 2,264.25 and 3,419.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,264.25 : 3,419.25 = 3,419.25 : x
2. Step 2: Convert to fraction form
   2,264.25/3,419.25 = 3,419.25/x
3. Step 3: Cross multiply
   2,264.25x = 3,419.25 × 3,419.25
4. Step 4: Simplify right side
   2,264.25x = 11,691,270.56
5. Step 5: Solve for x
   x = 11,691,270.56/2,264.25
6. Step 6: Final answer
   x = 5,163.42