Finding the Third Proportional to 980 and 1,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   980 : 1,464.50 = 1,464.50 : x
2. Step 2: Convert to fraction form
   980/1,464.50 = 1,464.50/x
3. Step 3: Cross multiply
   980x = 1,464.50 × 1,464.50
4. Step 4: Simplify right side
   980x = 2,144,760.25
5. Step 5: Solve for x
   x = 2,144,760.25/980
6. Step 6: Final answer
   x = 2,188.53