Finding the Third Proportional to 13,892 and 31,722

Step by Step Solution

1. Step 1: Write the proportion equation
   13,892 : 31,722 = 31,722 : x
2. Step 2: Convert to fraction form
   13,892/31,722 = 31,722/x
3. Step 3: Cross multiply
   13,892x = 31,722 × 31,722
4. Step 4: Simplify right side
   13,892x = 1,006,285,284
5. Step 5: Solve for x
   x = 1,006,285,284/13,892
6. Step 6: Final answer
   x = 72,436.31