Finding the Third Proportional to 2,805.89 and 4,294.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,805.89 : 4,294.27 = 4,294.27 : x
2. Step 2: Convert to fraction form
   2,805.89/4,294.27 = 4,294.27/x
3. Step 3: Cross multiply
   2,805.89x = 4,294.27 × 4,294.27
4. Step 4: Simplify right side
   2,805.89x = 18,440,717.26
5. Step 5: Solve for x
   x = 18,440,717.26/2,805.89
6. Step 6: Final answer
   x = 6,572.14