Finding the Third Proportional to 10,046 and 21,628

Step by Step Solution

1. Step 1: Write the proportion equation
   10,046 : 21,628 = 21,628 : x
2. Step 2: Convert to fraction form
   10,046/21,628 = 21,628/x
3. Step 3: Cross multiply
   10,046x = 21,628 × 21,628
4. Step 4: Simplify right side
   10,046x = 467,770,384
5. Step 5: Solve for x
   x = 467,770,384/10,046
6. Step 6: Final answer
   x = 46,562.85