Finding the Third Proportional to 2,163 and 5,017.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,163 : 5,017.50 = 5,017.50 : x
2. Step 2: Convert to fraction form
   2,163/5,017.50 = 5,017.50/x
3. Step 3: Cross multiply
   2,163x = 5,017.50 × 5,017.50
4. Step 4: Simplify right side
   2,163x = 25,175,306.25
5. Step 5: Solve for x
   x = 25,175,306.25/2,163
6. Step 6: Final answer
   x = 11,639.07