Finding the Third Proportional to 670.88 and 1,456.69

Step by Step Solution

1. Step 1: Write the proportion equation
   670.88 : 1,456.69 = 1,456.69 : x
2. Step 2: Convert to fraction form
   670.88/1,456.69 = 1,456.69/x
3. Step 3: Cross multiply
   670.88x = 1,456.69 × 1,456.69
4. Step 4: Simplify right side
   670.88x = 2,121,938.47
5. Step 5: Solve for x
   x = 2,121,938.47/670.88
6. Step 6: Final answer
   x = 3,162.94