Finding the Third Proportional to 2,141.44 and 2,377.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,141.44 : 2,377.69 = 2,377.69 : x
2. Step 2: Convert to fraction form
   2,141.44/2,377.69 = 2,377.69/x
3. Step 3: Cross multiply
   2,141.44x = 2,377.69 × 2,377.69
4. Step 4: Simplify right side
   2,141.44x = 5,653,397.85
5. Step 5: Solve for x
   x = 5,653,397.85/2,141.44
6. Step 6: Final answer
   x = 2,640.00