Finding the Third Proportional to 2,886.75 and 4,294.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,886.75 : 4,294.69 = 4,294.69 : x
2. Step 2: Convert to fraction form
   2,886.75/4,294.69 = 4,294.69/x
3. Step 3: Cross multiply
   2,886.75x = 4,294.69 × 4,294.69
4. Step 4: Simplify right side
   2,886.75x = 18,444,340.72
5. Step 5: Solve for x
   x = 18,444,340.72/2,886.75
6. Step 6: Final answer
   x = 6,389.31