Finding the Third Proportional to 3,661.50 and 5,673.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,661.50 : 5,673.75 = 5,673.75 : x
2. Step 2: Convert to fraction form
   3,661.50/5,673.75 = 5,673.75/x
3. Step 3: Cross multiply
   3,661.50x = 5,673.75 × 5,673.75
4. Step 4: Simplify right side
   3,661.50x = 32,191,439.06
5. Step 5: Solve for x
   x = 32,191,439.06/3,661.50
6. Step 6: Final answer
   x = 8,791.87