Finding the Third Proportional to 16,407 and 38,419

Step by Step Solution

1. Step 1: Write the proportion equation
   16,407 : 38,419 = 38,419 : x
2. Step 2: Convert to fraction form
   16,407/38,419 = 38,419/x
3. Step 3: Cross multiply
   16,407x = 38,419 × 38,419
4. Step 4: Simplify right side
   16,407x = 1,476,019,561
5. Step 5: Solve for x
   x = 1,476,019,561/16,407
6. Step 6: Final answer
   x = 89,962.79