Finding the Third Proportional to 3,392.50 and 3,884.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,392.50 : 3,884.50 = 3,884.50 : x
2. Step 2: Convert to fraction form
   3,392.50/3,884.50 = 3,884.50/x
3. Step 3: Cross multiply
   3,392.50x = 3,884.50 × 3,884.50
4. Step 4: Simplify right side
   3,392.50x = 15,089,340.25
5. Step 5: Solve for x
   x = 15,089,340.25/3,392.50
6. Step 6: Final answer
   x = 4,447.85