Finding the Third Proportional to 5,363.16 and 8,204.34

Step by Step Solution

1. Step 1: Write the proportion equation
   5,363.16 : 8,204.34 = 8,204.34 : x
2. Step 2: Convert to fraction form
   5,363.16/8,204.34 = 8,204.34/x
3. Step 3: Cross multiply
   5,363.16x = 8,204.34 × 8,204.34
4. Step 4: Simplify right side
   5,363.16x = 67,311,256.37
5. Step 5: Solve for x
   x = 67,311,256.37/5,363.16
6. Step 6: Final answer
   x = 12,550.68