Finding the Third Proportional to 20,627 and 31,454

Step by Step Solution

1. Step 1: Write the proportion equation
   20,627 : 31,454 = 31,454 : x
2. Step 2: Convert to fraction form
   20,627/31,454 = 31,454/x
3. Step 3: Cross multiply
   20,627x = 31,454 × 31,454
4. Step 4: Simplify right side
   20,627x = 989,354,116
5. Step 5: Solve for x
   x = 989,354,116/20,627
6. Step 6: Final answer
   x = 47,964.03