Finding the Third Proportional to 31,797 and 67,977

Step by Step Solution

1. Step 1: Write the proportion equation
   31,797 : 67,977 = 67,977 : x
2. Step 2: Convert to fraction form
   31,797/67,977 = 67,977/x
3. Step 3: Cross multiply
   31,797x = 67,977 × 67,977
4. Step 4: Simplify right side
   31,797x = 4,620,872,529
5. Step 5: Solve for x
   x = 4,620,872,529/31,797
6. Step 6: Final answer
   x = 145,324.17