Finding the Third Proportional to 3,401.76 and 5,153.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,401.76 : 5,153.78 = 5,153.78 : x
2. Step 2: Convert to fraction form
   3,401.76/5,153.78 = 5,153.78/x
3. Step 3: Cross multiply
   3,401.76x = 5,153.78 × 5,153.78
4. Step 4: Simplify right side
   3,401.76x = 26,561,481.30
5. Step 5: Solve for x
   x = 26,561,481.30/3,401.76
6. Step 6: Final answer
   x = 7,808.15