Finding the Third Proportional to 705.50 and 1,456

Step by Step Solution

1. Step 1: Write the proportion equation
   705.50 : 1,456 = 1,456 : x
2. Step 2: Convert to fraction form
   705.50/1,456 = 1,456/x
3. Step 3: Cross multiply
   705.50x = 1,456 × 1,456
4. Step 4: Simplify right side
   705.50x = 2,119,936
5. Step 5: Solve for x
   x = 2,119,936/705.50
6. Step 6: Final answer
   x = 3,004.87