Finding the Third Proportional to 5,893.50 and 8,243.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,893.50 : 8,243.25 = 8,243.25 : x
2. Step 2: Convert to fraction form
   5,893.50/8,243.25 = 8,243.25/x
3. Step 3: Cross multiply
   5,893.50x = 8,243.25 × 8,243.25
4. Step 4: Simplify right side
   5,893.50x = 67,951,170.56
5. Step 5: Solve for x
   x = 67,951,170.56/5,893.50
6. Step 6: Final answer
   x = 11,529.85