Finding the Third Proportional to 3,343.78 and 5,429.53

Step by Step Solution

1. Step 1: Write the proportion equation
   3,343.78 : 5,429.53 = 5,429.53 : x
2. Step 2: Convert to fraction form
   3,343.78/5,429.53 = 5,429.53/x
3. Step 3: Cross multiply
   3,343.78x = 5,429.53 × 5,429.53
4. Step 4: Simplify right side
   3,343.78x = 29,479,809.59
5. Step 5: Solve for x
   x = 29,479,809.59/3,343.78
6. Step 6: Final answer
   x = 8,816.31