Finding the Third Proportional to 20,296 and 32,109

Step by Step Solution

1. Step 1: Write the proportion equation
   20,296 : 32,109 = 32,109 : x
2. Step 2: Convert to fraction form
   20,296/32,109 = 32,109/x
3. Step 3: Cross multiply
   20,296x = 32,109 × 32,109
4. Step 4: Simplify right side
   20,296x = 1,030,987,881
5. Step 5: Solve for x
   x = 1,030,987,881/20,296
6. Step 6: Final answer
   x = 50,797.59