Finding the Third Proportional to 2,107.50 and 4,560.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,107.50 : 4,560.38 = 4,560.38 : x
2. Step 2: Convert to fraction form
   2,107.50/4,560.38 = 4,560.38/x
3. Step 3: Cross multiply
   2,107.50x = 4,560.38 × 4,560.38
4. Step 4: Simplify right side
   2,107.50x = 20,797,020.14
5. Step 5: Solve for x
   x = 20,797,020.14/2,107.50
6. Step 6: Final answer
   x = 9,868.10