Finding the Third Proportional to 10,092 and 21,404

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 21,404 = 21,404 : x
2. Step 2: Convert to fraction form
   10,092/21,404 = 21,404/x
3. Step 3: Cross multiply
   10,092x = 21,404 × 21,404
4. Step 4: Simplify right side
   10,092x = 458,131,216
5. Step 5: Solve for x
   x = 458,131,216/10,092
6. Step 6: Final answer
   x = 45,395.48