Finding the Third Proportional to 1,456 and 1,714

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456 : 1,714 = 1,714 : x
2. Step 2: Convert to fraction form
   1,456/1,714 = 1,714/x
3. Step 3: Cross multiply
   1,456x = 1,714 × 1,714
4. Step 4: Simplify right side
   1,456x = 2,937,796
5. Step 5: Solve for x
   x = 2,937,796/1,456
6. Step 6: Final answer
   x = 2,017.72