Finding the Third Proportional to 10,811 and 23,629

Step by Step Solution

1. Step 1: Write the proportion equation
   10,811 : 23,629 = 23,629 : x
2. Step 2: Convert to fraction form
   10,811/23,629 = 23,629/x
3. Step 3: Cross multiply
   10,811x = 23,629 × 23,629
4. Step 4: Simplify right side
   10,811x = 558,329,641
5. Step 5: Solve for x
   x = 558,329,641/10,811
6. Step 6: Final answer
   x = 51,644.59