Finding the Third Proportional to 1,352 and 1,456

Step by Step Solution

1. Step 1: Write the proportion equation
   1,352 : 1,456 = 1,456 : x
2. Step 2: Convert to fraction form
   1,352/1,456 = 1,456/x
3. Step 3: Cross multiply
   1,352x = 1,456 × 1,456
4. Step 4: Simplify right side
   1,352x = 2,119,936
5. Step 5: Solve for x
   x = 2,119,936/1,352
6. Step 6: Final answer
   x = 1,568