Finding the Third Proportional to 1,380.94 and 2,141.65

Step by Step Solution

1. Step 1: Write the proportion equation
   1,380.94 : 2,141.65 = 2,141.65 : x
2. Step 2: Convert to fraction form
   1,380.94/2,141.65 = 2,141.65/x
3. Step 3: Cross multiply
   1,380.94x = 2,141.65 × 2,141.65
4. Step 4: Simplify right side
   1,380.94x = 4,586,658.03
5. Step 5: Solve for x
   x = 4,586,658.03/1,380.94
6. Step 6: Final answer
   x = 3,321.41