Finding the Third Proportional to 5,736.94 and 8,498.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,736.94 : 8,498.81 = 8,498.81 : x
2. Step 2: Convert to fraction form
   5,736.94/8,498.81 = 8,498.81/x
3. Step 3: Cross multiply
   5,736.94x = 8,498.81 × 8,498.81
4. Step 4: Simplify right side
   5,736.94x = 72,229,813.91
5. Step 5: Solve for x
   x = 72,229,813.91/5,736.94
6. Step 6: Final answer
   x = 12,590.31