Finding the Third Proportional to 10,628 and 22,471

Step by Step Solution

1. Step 1: Write the proportion equation
   10,628 : 22,471 = 22,471 : x
2. Step 2: Convert to fraction form
   10,628/22,471 = 22,471/x
3. Step 3: Cross multiply
   10,628x = 22,471 × 22,471
4. Step 4: Simplify right side
   10,628x = 504,945,841
5. Step 5: Solve for x
   x = 504,945,841/10,628
6. Step 6: Final answer
   x = 47,510.90