Finding the Third Proportional to 3,667.50 and 4,052.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,667.50 : 4,052.25 = 4,052.25 : x
2. Step 2: Convert to fraction form
   3,667.50/4,052.25 = 4,052.25/x
3. Step 3: Cross multiply
   3,667.50x = 4,052.25 × 4,052.25
4. Step 4: Simplify right side
   3,667.50x = 16,420,730.06
5. Step 5: Solve for x
   x = 16,420,730.06/3,667.50
6. Step 6: Final answer
   x = 4,477.36