Finding the Third Proportional to 3,882.94 and 5,209.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,882.94 : 5,209.31 = 5,209.31 : x
2. Step 2: Convert to fraction form
   3,882.94/5,209.31 = 5,209.31/x
3. Step 3: Cross multiply
   3,882.94x = 5,209.31 × 5,209.31
4. Step 4: Simplify right side
   3,882.94x = 27,136,936.72
5. Step 5: Solve for x
   x = 27,136,936.72/3,882.94
6. Step 6: Final answer
   x = 6,988.76