Finding the Third Proportional to 10,906 and 23,538

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906 : 23,538 = 23,538 : x
2. Step 2: Convert to fraction form
   10,906/23,538 = 23,538/x
3. Step 3: Cross multiply
   10,906x = 23,538 × 23,538
4. Step 4: Simplify right side
   10,906x = 554,037,444
5. Step 5: Solve for x
   x = 554,037,444/10,906
6. Step 6: Final answer
   x = 50,801.16