Finding the Third Proportional to 20,128 and 32,105

Step by Step Solution

1. Step 1: Write the proportion equation
   20,128 : 32,105 = 32,105 : x
2. Step 2: Convert to fraction form
   20,128/32,105 = 32,105/x
3. Step 3: Cross multiply
   20,128x = 32,105 × 32,105
4. Step 4: Simplify right side
   20,128x = 1,030,731,025
5. Step 5: Solve for x
   x = 1,030,731,025/20,128
6. Step 6: Final answer
   x = 51,208.81