Finding the Third Proportional to 2,022.50 and 4,516

Step by Step Solution

1. Step 1: Write the proportion equation
   2,022.50 : 4,516 = 4,516 : x
2. Step 2: Convert to fraction form
   2,022.50/4,516 = 4,516/x
3. Step 3: Cross multiply
   2,022.50x = 4,516 × 4,516
4. Step 4: Simplify right side
   2,022.50x = 20,394,256
5. Step 5: Solve for x
   x = 20,394,256/2,022.50
6. Step 6: Final answer
   x = 10,083.69