Finding the Third Proportional to 2,116.69 and 4,576.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,116.69 : 4,576.50 = 4,576.50 : x
2. Step 2: Convert to fraction form
   2,116.69/4,576.50 = 4,576.50/x
3. Step 3: Cross multiply
   2,116.69x = 4,576.50 × 4,576.50
4. Step 4: Simplify right side
   2,116.69x = 20,944,352.25
5. Step 5: Solve for x
   x = 20,944,352.25/2,116.69
6. Step 6: Final answer
   x = 9,894.87