Finding the Third Proportional to 10,538 and 23,412

Step by Step Solution

1. Step 1: Write the proportion equation
   10,538 : 23,412 = 23,412 : x
2. Step 2: Convert to fraction form
   10,538/23,412 = 23,412/x
3. Step 3: Cross multiply
   10,538x = 23,412 × 23,412
4. Step 4: Simplify right side
   10,538x = 548,121,744
5. Step 5: Solve for x
   x = 548,121,744/10,538
6. Step 6: Final answer
   x = 52,013.83