Finding the Third Proportional to 17,658 and 23,977

Step by Step Solution

1. Step 1: Write the proportion equation
   17,658 : 23,977 = 23,977 : x
2. Step 2: Convert to fraction form
   17,658/23,977 = 23,977/x
3. Step 3: Cross multiply
   17,658x = 23,977 × 23,977
4. Step 4: Simplify right side
   17,658x = 574,896,529
5. Step 5: Solve for x
   x = 574,896,529/17,658
6. Step 6: Final answer
   x = 32,557.28