Finding the Third Proportional to 1,294.31 and 2,058.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,294.31 : 2,058.47 = 2,058.47 : x
2. Step 2: Convert to fraction form
   1,294.31/2,058.47 = 2,058.47/x
3. Step 3: Cross multiply
   1,294.31x = 2,058.47 × 2,058.47
4. Step 4: Simplify right side
   1,294.31x = 4,237,293.59
5. Step 5: Solve for x
   x = 4,237,293.59/1,294.31
6. Step 6: Final answer
   x = 3,273.78