Finding the Third Proportional to 3,667.38 and 4,982.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.38 : 4,982.75 = 4,982.75 : x
2. Step 2: Convert to fraction form
   3,667.38/4,982.75 = 4,982.75/x
3. Step 3: Cross multiply
   3,667.38x = 4,982.75 × 4,982.75
4. Step 4: Simplify right side
   3,667.38x = 24,827,797.56
5. Step 5: Solve for x
   x = 24,827,797.56/3,667.38
6. Step 6: Final answer
   x = 6,769.91