Finding the Third Proportional to 3,406.50 and 5,212.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,406.50 : 5,212.69 = 5,212.69 : x
2. Step 2: Convert to fraction form
   3,406.50/5,212.69 = 5,212.69/x
3. Step 3: Cross multiply
   3,406.50x = 5,212.69 × 5,212.69
4. Step 4: Simplify right side
   3,406.50x = 27,172,110.97
5. Step 5: Solve for x
   x = 27,172,110.97/3,406.50
6. Step 6: Final answer
   x = 7,976.55