Finding the Third Proportional to 1,419.38 and 2,202.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.38 : 2,202.88 = 2,202.88 : x
2. Step 2: Convert to fraction form
   1,419.38/2,202.88 = 2,202.88/x
3. Step 3: Cross multiply
   1,419.38x = 2,202.88 × 2,202.88
4. Step 4: Simplify right side
   1,419.38x = 4,852,658.27
5. Step 5: Solve for x
   x = 4,852,658.27/1,419.38
6. Step 6: Final answer
   x = 3,418.87