Finding the Third Proportional to 20,164 and 31,285

Step by Step Solution

1. Step 1: Write the proportion equation
   20,164 : 31,285 = 31,285 : x
2. Step 2: Convert to fraction form
   20,164/31,285 = 31,285/x
3. Step 3: Cross multiply
   20,164x = 31,285 × 31,285
4. Step 4: Simplify right side
   20,164x = 978,751,225
5. Step 5: Solve for x
   x = 978,751,225/20,164
6. Step 6: Final answer
   x = 48,539.54