Finding the Third Proportional to 21,018 and 31,963

Step by Step Solution

1. Step 1: Write the proportion equation
   21,018 : 31,963 = 31,963 : x
2. Step 2: Convert to fraction form
   21,018/31,963 = 31,963/x
3. Step 3: Cross multiply
   21,018x = 31,963 × 31,963
4. Step 4: Simplify right side
   21,018x = 1,021,633,369
5. Step 5: Solve for x
   x = 1,021,633,369/21,018
6. Step 6: Final answer
   x = 48,607.54