Finding the Third Proportional to 589.50 and 670.50

Step by Step Solution

1. Step 1: Write the proportion equation
   589.50 : 670.50 = 670.50 : x
2. Step 2: Convert to fraction form
   589.50/670.50 = 670.50/x
3. Step 3: Cross multiply
   589.50x = 670.50 × 670.50
4. Step 4: Simplify right side
   589.50x = 449,570.25
5. Step 5: Solve for x
   x = 449,570.25/589.50
6. Step 6: Final answer
   x = 762.63