Finding the Third Proportional to 1,419 and 1,906

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419 : 1,906 = 1,906 : x
2. Step 2: Convert to fraction form
   1,419/1,906 = 1,906/x
3. Step 3: Cross multiply
   1,419x = 1,906 × 1,906
4. Step 4: Simplify right side
   1,419x = 3,632,836
5. Step 5: Solve for x
   x = 3,632,836/1,419
6. Step 6: Final answer
   x = 2,560.14