Finding the Third Proportional to 10,092 and 21,804

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 21,804 = 21,804 : x
2. Step 2: Convert to fraction form
   10,092/21,804 = 21,804/x
3. Step 3: Cross multiply
   10,092x = 21,804 × 21,804
4. Step 4: Simplify right side
   10,092x = 475,414,416
5. Step 5: Solve for x
   x = 475,414,416/10,092
6. Step 6: Final answer
   x = 47,108.05