Finding the Third Proportional to 16,049 and 34,636

Step by Step Solution

1. Step 1: Write the proportion equation
   16,049 : 34,636 = 34,636 : x
2. Step 2: Convert to fraction form
   16,049/34,636 = 34,636/x
3. Step 3: Cross multiply
   16,049x = 34,636 × 34,636
4. Step 4: Simplify right side
   16,049x = 1,199,652,496
5. Step 5: Solve for x
   x = 1,199,652,496/16,049
6. Step 6: Final answer
   x = 74,749.36