Finding the Third Proportional to 21,809 and 34,419

Step by Step Solution

1. Step 1: Write the proportion equation
   21,809 : 34,419 = 34,419 : x
2. Step 2: Convert to fraction form
   21,809/34,419 = 34,419/x
3. Step 3: Cross multiply
   21,809x = 34,419 × 34,419
4. Step 4: Simplify right side
   21,809x = 1,184,667,561
5. Step 5: Solve for x
   x = 1,184,667,561/21,809
6. Step 6: Final answer
   x = 54,320.12