Finding the Third Proportional to 11,182 and 17,977

Step by Step Solution

1. Step 1: Write the proportion equation
   11,182 : 17,977 = 17,977 : x
2. Step 2: Convert to fraction form
   11,182/17,977 = 17,977/x
3. Step 3: Cross multiply
   11,182x = 17,977 × 17,977
4. Step 4: Simplify right side
   11,182x = 323,172,529
5. Step 5: Solve for x
   x = 323,172,529/11,182
6. Step 6: Final answer
   x = 28,901.14