Finding the Third Proportional to 5,864.75 and 8,641.88

Step by Step Solution

1. Step 1: Write the proportion equation
   5,864.75 : 8,641.88 = 8,641.88 : x
2. Step 2: Convert to fraction form
   5,864.75/8,641.88 = 8,641.88/x
3. Step 3: Cross multiply
   5,864.75x = 8,641.88 × 8,641.88
4. Step 4: Simplify right side
   5,864.75x = 74,682,003.52
5. Step 5: Solve for x
   x = 74,682,003.52/5,864.75
6. Step 6: Final answer
   x = 12,734.05