Finding the Third Proportional to 31,122 and 40,878

Step by Step Solution

1. Step 1: Write the proportion equation
   31,122 : 40,878 = 40,878 : x
2. Step 2: Convert to fraction form
   31,122/40,878 = 40,878/x
3. Step 3: Cross multiply
   31,122x = 40,878 × 40,878
4. Step 4: Simplify right side
   31,122x = 1,671,010,884
5. Step 5: Solve for x
   x = 1,671,010,884/31,122
6. Step 6: Final answer
   x = 53,692.27