Finding the Third Proportional to 3,462.19 and 4,069.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,462.19 : 4,069.69 = 4,069.69 : x
2. Step 2: Convert to fraction form
   3,462.19/4,069.69 = 4,069.69/x
3. Step 3: Cross multiply
   3,462.19x = 4,069.69 × 4,069.69
4. Step 4: Simplify right side
   3,462.19x = 16,562,356.35
5. Step 5: Solve for x
   x = 16,562,356.35/3,462.19
6. Step 6: Final answer
   x = 4,783.78