Finding the Third Proportional to 3,577.50 and 3,935.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.50 : 3,935.25 = 3,935.25 : x
2. Step 2: Convert to fraction form
   3,577.50/3,935.25 = 3,935.25/x
3. Step 3: Cross multiply
   3,577.50x = 3,935.25 × 3,935.25
4. Step 4: Simplify right side
   3,577.50x = 15,486,192.56
5. Step 5: Solve for x
   x = 15,486,192.56/3,577.50
6. Step 6: Final answer
   x = 4,328.78