Finding the Third Proportional to 2,377.69 and 3,639.09

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.69 : 3,639.09 = 3,639.09 : x
2. Step 2: Convert to fraction form
   2,377.69/3,639.09 = 3,639.09/x
3. Step 3: Cross multiply
   2,377.69x = 3,639.09 × 3,639.09
4. Step 4: Simplify right side
   2,377.69x = 13,243,003.32
5. Step 5: Solve for x
   x = 13,243,003.32/2,377.69
6. Step 6: Final answer
   x = 5,569.70