Finding the Third Proportional to 1,456 and 2,180

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456 : 2,180 = 2,180 : x
2. Step 2: Convert to fraction form
   1,456/2,180 = 2,180/x
3. Step 3: Cross multiply
   1,456x = 2,180 × 2,180
4. Step 4: Simplify right side
   1,456x = 4,752,400
5. Step 5: Solve for x
   x = 4,752,400/1,456
6. Step 6: Final answer
   x = 3,264.01