Finding the Third Proportional to 670.81 and 1,456.56

Step by Step Solution

1. Step 1: Write the proportion equation
   670.81 : 1,456.56 = 1,456.56 : x
2. Step 2: Convert to fraction form
   670.81/1,456.56 = 1,456.56/x
3. Step 3: Cross multiply
   670.81x = 1,456.56 × 1,456.56
4. Step 4: Simplify right side
   670.81x = 2,121,574.32
5. Step 5: Solve for x
   x = 2,121,574.32/670.81
6. Step 6: Final answer
   x = 3,162.69