Finding the Third Proportional to 20,164 and 31,278

Step by Step Solution

1. Step 1: Write the proportion equation
   20,164 : 31,278 = 31,278 : x
2. Step 2: Convert to fraction form
   20,164/31,278 = 31,278/x
3. Step 3: Cross multiply
   20,164x = 31,278 × 31,278
4. Step 4: Simplify right side
   20,164x = 978,313,284
5. Step 5: Solve for x
   x = 978,313,284/20,164
6. Step 6: Final answer
   x = 48,517.82