Finding the Third Proportional to 5,351.63 and 8,229.94

Step by Step Solution

1. Step 1: Write the proportion equation
   5,351.63 : 8,229.94 = 8,229.94 : x
2. Step 2: Convert to fraction form
   5,351.63/8,229.94 = 8,229.94/x
3. Step 3: Cross multiply
   5,351.63x = 8,229.94 × 8,229.94
4. Step 4: Simplify right side
   5,351.63x = 67,731,871.25
5. Step 5: Solve for x
   x = 67,731,871.25/5,351.63
6. Step 6: Final answer
   x = 12,656.32