Finding the Third Proportional to 2,511 and 5,008.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,511 : 5,008.50 = 5,008.50 : x
2. Step 2: Convert to fraction form
   2,511/5,008.50 = 5,008.50/x
3. Step 3: Cross multiply
   2,511x = 5,008.50 × 5,008.50
4. Step 4: Simplify right side
   2,511x = 25,085,072.25
5. Step 5: Solve for x
   x = 25,085,072.25/2,511
6. Step 6: Final answer
   x = 9,990.07