Finding the Third Proportional to 1,414.69 and 1,900.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,414.69 : 1,900.78 = 1,900.78 : x
2. Step 2: Convert to fraction form
   1,414.69/1,900.78 = 1,900.78/x
3. Step 3: Cross multiply
   1,414.69x = 1,900.78 × 1,900.78
4. Step 4: Simplify right side
   1,414.69x = 3,612,969.36
5. Step 5: Solve for x
   x = 3,612,969.36/1,414.69
6. Step 6: Final answer
   x = 2,553.90