Finding the Third Proportional to 647 and 1,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   647 : 1,464.50 = 1,464.50 : x
2. Step 2: Convert to fraction form
   647/1,464.50 = 1,464.50/x
3. Step 3: Cross multiply
   647x = 1,464.50 × 1,464.50
4. Step 4: Simplify right side
   647x = 2,144,760.25
5. Step 5: Solve for x
   x = 2,144,760.25/647
6. Step 6: Final answer
   x = 3,314.93