Finding the Third Proportional to 2,853.35 and 4,419.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,853.35 : 4,419.56 = 4,419.56 : x
2. Step 2: Convert to fraction form
   2,853.35/4,419.56 = 4,419.56/x
3. Step 3: Cross multiply
   2,853.35x = 4,419.56 × 4,419.56
4. Step 4: Simplify right side
   2,853.35x = 19,532,532.69
5. Step 5: Solve for x
   x = 19,532,532.69/2,853.35
6. Step 6: Final answer
   x = 6,845.47