Finding the Third Proportional to 35,878 and 55,331

Step by Step Solution

1. Step 1: Write the proportion equation
   35,878 : 55,331 = 55,331 : x
2. Step 2: Convert to fraction form
   35,878/55,331 = 55,331/x
3. Step 3: Cross multiply
   35,878x = 55,331 × 55,331
4. Step 4: Simplify right side
   35,878x = 3,061,519,561
5. Step 5: Solve for x
   x = 3,061,519,561/35,878
6. Step 6: Final answer
   x = 85,331.39