Finding the Third Proportional to 17,530 and 37,977

Step by Step Solution

1. Step 1: Write the proportion equation
   17,530 : 37,977 = 37,977 : x
2. Step 2: Convert to fraction form
   17,530/37,977 = 37,977/x
3. Step 3: Cross multiply
   17,530x = 37,977 × 37,977
4. Step 4: Simplify right side
   17,530x = 1,442,252,529
5. Step 5: Solve for x
   x = 1,442,252,529/17,530
6. Step 6: Final answer
   x = 82,273.39