Finding the Third Proportional to 21,106 and 31,499

Step by Step Solution

1. Step 1: Write the proportion equation
   21,106 : 31,499 = 31,499 : x
2. Step 2: Convert to fraction form
   21,106/31,499 = 31,499/x
3. Step 3: Cross multiply
   21,106x = 31,499 × 31,499
4. Step 4: Simplify right side
   21,106x = 992,187,001
5. Step 5: Solve for x
   x = 992,187,001/21,106
6. Step 6: Final answer
   x = 47,009.71