Finding the Third Proportional to 5,833.13 and 8,857.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,833.13 : 8,857.69 = 8,857.69 : x
2. Step 2: Convert to fraction form
   5,833.13/8,857.69 = 8,857.69/x
3. Step 3: Cross multiply
   5,833.13x = 8,857.69 × 8,857.69
4. Step 4: Simplify right side
   5,833.13x = 78,458,627.85
5. Step 5: Solve for x
   x = 78,458,627.85/5,833.13
6. Step 6: Final answer
   x = 13,450.53