Finding the Third Proportional to 31,878 and 50,634

Step by Step Solution

1. Step 1: Write the proportion equation
   31,878 : 50,634 = 50,634 : x
2. Step 2: Convert to fraction form
   31,878/50,634 = 50,634/x
3. Step 3: Cross multiply
   31,878x = 50,634 × 50,634
4. Step 4: Simplify right side
   31,878x = 2,563,801,956
5. Step 5: Solve for x
   x = 2,563,801,956/31,878
6. Step 6: Final answer
   x = 80,425.43