Finding the Third Proportional to 20,264 and 31,627

Step by Step Solution

1. Step 1: Write the proportion equation
   20,264 : 31,627 = 31,627 : x
2. Step 2: Convert to fraction form
   20,264/31,627 = 31,627/x
3. Step 3: Cross multiply
   20,264x = 31,627 × 31,627
4. Step 4: Simplify right side
   20,264x = 1,000,267,129
5. Step 5: Solve for x
   x = 1,000,267,129/20,264
6. Step 6: Final answer
   x = 49,361.78