Finding the Third Proportional to 10,092 and 22,128

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 22,128 = 22,128 : x
2. Step 2: Convert to fraction form
   10,092/22,128 = 22,128/x
3. Step 3: Cross multiply
   10,092x = 22,128 × 22,128
4. Step 4: Simplify right side
   10,092x = 489,648,384
5. Step 5: Solve for x
   x = 489,648,384/10,092
6. Step 6: Final answer
   x = 48,518.47