Finding the Third Proportional to 21,380 and 31,892

Step by Step Solution

1. Step 1: Write the proportion equation
   21,380 : 31,892 = 31,892 : x
2. Step 2: Convert to fraction form
   21,380/31,892 = 31,892/x
3. Step 3: Cross multiply
   21,380x = 31,892 × 31,892
4. Step 4: Simplify right side
   21,380x = 1,017,099,664
5. Step 5: Solve for x
   x = 1,017,099,664/21,380
6. Step 6: Final answer
   x = 47,572.48