Finding the Third Proportional to 2,928.19 and 4,465.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,928.19 : 4,465.69 = 4,465.69 : x
2. Step 2: Convert to fraction form
   2,928.19/4,465.69 = 4,465.69/x
3. Step 3: Cross multiply
   2,928.19x = 4,465.69 × 4,465.69
4. Step 4: Simplify right side
   2,928.19x = 19,942,364.85
5. Step 5: Solve for x
   x = 19,942,364.85/2,928.19
6. Step 6: Final answer
   x = 6,810.48