Finding the Third Proportional to 5,834.25 and 8,490.38

Step by Step Solution

1. Step 1: Write the proportion equation
   5,834.25 : 8,490.38 = 8,490.38 : x
2. Step 2: Convert to fraction form
   5,834.25/8,490.38 = 8,490.38/x
3. Step 3: Cross multiply
   5,834.25x = 8,490.38 × 8,490.38
4. Step 4: Simplify right side
   5,834.25x = 72,086,467.64
5. Step 5: Solve for x
   x = 72,086,467.64/5,834.25
6. Step 6: Final answer
   x = 12,355.74