Finding the Third Proportional to 20,109 and 32,864

Step by Step Solution

1. Step 1: Write the proportion equation
   20,109 : 32,864 = 32,864 : x
2. Step 2: Convert to fraction form
   20,109/32,864 = 32,864/x
3. Step 3: Cross multiply
   20,109x = 32,864 × 32,864
4. Step 4: Simplify right side
   20,109x = 1,080,042,496
5. Step 5: Solve for x
   x = 1,080,042,496/20,109
6. Step 6: Final answer
   x = 53,709.41