Finding the Third Proportional to 1,456.69 and 2,159.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.69 : 2,159.06 = 2,159.06 : x
2. Step 2: Convert to fraction form
   1,456.69/2,159.06 = 2,159.06/x
3. Step 3: Cross multiply
   1,456.69x = 2,159.06 × 2,159.06
4. Step 4: Simplify right side
   1,456.69x = 4,661,550.88
5. Step 5: Solve for x
   x = 4,661,550.88/1,456.69
6. Step 6: Final answer
   x = 3,200.10