Finding the Third Proportional to 3,577.50 and 8,238.38

Step by Step Solution

1. Step 1: Write the proportion equation
   3,577.50 : 8,238.38 = 8,238.38 : x
2. Step 2: Convert to fraction form
   3,577.50/8,238.38 = 8,238.38/x
3. Step 3: Cross multiply
   3,577.50x = 8,238.38 × 8,238.38
4. Step 4: Simplify right side
   3,577.50x = 67,870,822.64
5. Step 5: Solve for x
   x = 67,870,822.64/3,577.50
6. Step 6: Final answer
   x = 18,971.58