Finding the Third Proportional to 14,538 and 31,401

Step by Step Solution

1. Step 1: Write the proportion equation
   14,538 : 31,401 = 31,401 : x
2. Step 2: Convert to fraction form
   14,538/31,401 = 31,401/x
3. Step 3: Cross multiply
   14,538x = 31,401 × 31,401
4. Step 4: Simplify right side
   14,538x = 986,022,801
5. Step 5: Solve for x
   x = 986,022,801/14,538
6. Step 6: Final answer
   x = 67,823.83