Finding the Third Proportional to 23,478 and 31,977

Step by Step Solution

1. Step 1: Write the proportion equation
   23,478 : 31,977 = 31,977 : x
2. Step 2: Convert to fraction form
   23,478/31,977 = 31,977/x
3. Step 3: Cross multiply
   23,478x = 31,977 × 31,977
4. Step 4: Simplify right side
   23,478x = 1,022,528,529
5. Step 5: Solve for x
   x = 1,022,528,529/23,478
6. Step 6: Final answer
   x = 43,552.62