Finding the Third Proportional to 3,577.50 and 4,809.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.50 : 4,809.38 = 4,809.38 : x
2. Step 2: Convert to fraction form
   3,577.50/4,809.38 = 4,809.38/x
3. Step 3: Cross multiply
   3,577.50x = 4,809.38 × 4,809.38
4. Step 4: Simplify right side
   3,577.50x = 23,130,087.89
5. Step 5: Solve for x
   x = 23,130,087.89/3,577.50
6. Step 6: Final answer
   x = 6,465.43