Finding the Third Proportional to 16,309 and 35,743

Step by Step Solution

1. Step 1: Write the proportion equation
   16,309 : 35,743 = 35,743 : x
2. Step 2: Convert to fraction form
   16,309/35,743 = 35,743/x
3. Step 3: Cross multiply
   16,309x = 35,743 × 35,743
4. Step 4: Simplify right side
   16,309x = 1,277,562,049
5. Step 5: Solve for x
   x = 1,277,562,049/16,309
6. Step 6: Final answer
   x = 78,334.79