Finding the Third Proportional to 1,434.09 and 3,141.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,434.09 : 3,141.56 = 3,141.56 : x
2. Step 2: Convert to fraction form
   1,434.09/3,141.56 = 3,141.56/x
3. Step 3: Cross multiply
   1,434.09x = 3,141.56 × 3,141.56
4. Step 4: Simplify right side
   1,434.09x = 9,869,414.94
5. Step 5: Solve for x
   x = 9,869,414.94/1,434.09
6. Step 6: Final answer
   x = 6,881.99