Finding the Third Proportional to 21,157 and 31,669

Step by Step Solution

1. Step 1: Write the proportion equation
   21,157 : 31,669 = 31,669 : x
2. Step 2: Convert to fraction form
   21,157/31,669 = 31,669/x
3. Step 3: Cross multiply
   21,157x = 31,669 × 31,669
4. Step 4: Simplify right side
   21,157x = 1,002,925,561
5. Step 5: Solve for x
   x = 1,002,925,561/21,157
6. Step 6: Final answer
   x = 47,403.96