Finding the Third Proportional to 5,401.69 and 8,124.05

Step by Step Solution

1. Step 1: Write the proportion equation
   5,401.69 : 8,124.05 = 8,124.05 : x
2. Step 2: Convert to fraction form
   5,401.69/8,124.05 = 8,124.05/x
3. Step 3: Cross multiply
   5,401.69x = 8,124.05 × 8,124.05
4. Step 4: Simplify right side
   5,401.69x = 66,000,137.63
5. Step 5: Solve for x
   x = 66,000,137.63/5,401.69
6. Step 6: Final answer
   x = 12,218.43