Finding the Third Proportional to 1,256 and 1,900

Step by Step Solution

1. Step 1: Write the proportion equation
   1,256 : 1,900 = 1,900 : x
2. Step 2: Convert to fraction form
   1,256/1,900 = 1,900/x
3. Step 3: Cross multiply
   1,256x = 1,900 × 1,900
4. Step 4: Simplify right side
   1,256x = 3,610,000
5. Step 5: Solve for x
   x = 3,610,000/1,256
6. Step 6: Final answer
   x = 2,874.20