Finding the Third Proportional to 10,092 and 21,806

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 21,806 = 21,806 : x
2. Step 2: Convert to fraction form
   10,092/21,806 = 21,806/x
3. Step 3: Cross multiply
   10,092x = 21,806 × 21,806
4. Step 4: Simplify right side
   10,092x = 475,501,636
5. Step 5: Solve for x
   x = 475,501,636/10,092
6. Step 6: Final answer
   x = 47,116.69