Finding the Third Proportional to 21,309 and 31,842

Step by Step Solution

1. Step 1: Write the proportion equation
   21,309 : 31,842 = 31,842 : x
2. Step 2: Convert to fraction form
   21,309/31,842 = 31,842/x
3. Step 3: Cross multiply
   21,309x = 31,842 × 31,842
4. Step 4: Simplify right side
   21,309x = 1,013,912,964
5. Step 5: Solve for x
   x = 1,013,912,964/21,309
6. Step 6: Final answer
   x = 47,581.44