Finding the Third Proportional to 10,092 and 20,628

Step by Step Solution

1. Step 1: Write the proportion equation
   10,092 : 20,628 = 20,628 : x
2. Step 2: Convert to fraction form
   10,092/20,628 = 20,628/x
3. Step 3: Cross multiply
   10,092x = 20,628 × 20,628
4. Step 4: Simplify right side
   10,092x = 425,514,384
5. Step 5: Solve for x
   x = 425,514,384/10,092
6. Step 6: Final answer
   x = 42,163.53