Finding the Third Proportional to 16,636 and 35,864

Step by Step Solution

1. Step 1: Write the proportion equation
   16,636 : 35,864 = 35,864 : x
2. Step 2: Convert to fraction form
   16,636/35,864 = 35,864/x
3. Step 3: Cross multiply
   16,636x = 35,864 × 35,864
4. Step 4: Simplify right side
   16,636x = 1,286,226,496
5. Step 5: Solve for x
   x = 1,286,226,496/16,636
6. Step 6: Final answer
   x = 77,315.85