Finding the Third Proportional to 3,378.94 and 5,032.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,378.94 : 5,032.69 = 5,032.69 : x
2. Step 2: Convert to fraction form
   3,378.94/5,032.69 = 5,032.69/x
3. Step 3: Cross multiply
   3,378.94x = 5,032.69 × 5,032.69
4. Step 4: Simplify right side
   3,378.94x = 25,327,943.47
5. Step 5: Solve for x
   x = 25,327,943.47/3,378.94
6. Step 6: Final answer
   x = 7,495.83