Finding the Third Proportional to 10,694 and 23,419

Step by Step Solution

1. Step 1: Write the proportion equation
   10,694 : 23,419 = 23,419 : x
2. Step 2: Convert to fraction form
   10,694/23,419 = 23,419/x
3. Step 3: Cross multiply
   10,694x = 23,419 × 23,419
4. Step 4: Simplify right side
   10,694x = 548,449,561
5. Step 5: Solve for x
   x = 548,449,561/10,694
6. Step 6: Final answer
   x = 51,285.73