Finding the Third Proportional to 2,198.75 and 4,667.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,198.75 : 4,667.38 = 4,667.38 : x
2. Step 2: Convert to fraction form
   2,198.75/4,667.38 = 4,667.38/x
3. Step 3: Cross multiply
   2,198.75x = 4,667.38 × 4,667.38
4. Step 4: Simplify right side
   2,198.75x = 21,784,389.39
5. Step 5: Solve for x
   x = 21,784,389.39/2,198.75
6. Step 6: Final answer
   x = 9,907.62