Finding the Third Proportional to 2,377.69 and 3,555.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,377.69 : 3,555.14 = 3,555.14 : x
2. Step 2: Convert to fraction form
   2,377.69/3,555.14 = 3,555.14/x
3. Step 3: Cross multiply
   2,377.69x = 3,555.14 × 3,555.14
4. Step 4: Simplify right side
   2,377.69x = 12,639,024.86
5. Step 5: Solve for x
   x = 12,639,024.86/2,377.69
6. Step 6: Final answer
   x = 5,315.68