Finding the Third Proportional to 5,734.97 and 8,495.86

Step by Step Solution

1. Step 1: Write the proportion equation
   5,734.97 : 8,495.86 = 8,495.86 : x
2. Step 2: Convert to fraction form
   5,734.97/8,495.86 = 8,495.86/x
3. Step 3: Cross multiply
   5,734.97x = 8,495.86 × 8,495.86
4. Step 4: Simplify right side
   5,734.97x = 72,179,626.52
5. Step 5: Solve for x
   x = 72,179,626.52/5,734.97
6. Step 6: Final answer
   x = 12,585.88