Finding the Third Proportional to 980 and 2,006.50

Step by Step Solution

1. Step 1: Write the proportion equation
   980 : 2,006.50 = 2,006.50 : x
2. Step 2: Convert to fraction form
   980/2,006.50 = 2,006.50/x
3. Step 3: Cross multiply
   980x = 2,006.50 × 2,006.50
4. Step 4: Simplify right side
   980x = 4,026,042.25
5. Step 5: Solve for x
   x = 4,026,042.25/980
6. Step 6: Final answer
   x = 4,108.21