Finding the Third Proportional to 3,657.25 and 5,477.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,657.25 : 5,477.88 = 5,477.88 : x
2. Step 2: Convert to fraction form
   3,657.25/5,477.88 = 5,477.88/x
3. Step 3: Cross multiply
   3,657.25x = 5,477.88 × 5,477.88
4. Step 4: Simplify right side
   3,657.25x = 30,007,114.52
5. Step 5: Solve for x
   x = 30,007,114.52/3,657.25
6. Step 6: Final answer
   x = 8,204.83