Finding the Third Proportional to 16,415 and 35,799

Step by Step Solution

1. Step 1: Write the proportion equation
   16,415 : 35,799 = 35,799 : x
2. Step 2: Convert to fraction form
   16,415/35,799 = 35,799/x
3. Step 3: Cross multiply
   16,415x = 35,799 × 35,799
4. Step 4: Simplify right side
   16,415x = 1,281,568,401
5. Step 5: Solve for x
   x = 1,281,568,401/16,415
6. Step 6: Final answer
   x = 78,073.01