Finding the Third Proportional to 8,200 and 17,977

Step by Step Solution

1. Step 1: Write the proportion equation
   8,200 : 17,977 = 17,977 : x
2. Step 2: Convert to fraction form
   8,200/17,977 = 17,977/x
3. Step 3: Cross multiply
   8,200x = 17,977 × 17,977
4. Step 4: Simplify right side
   8,200x = 323,172,529
5. Step 5: Solve for x
   x = 323,172,529/8,200
6. Step 6: Final answer
   x = 39,411.28