Finding the Third Proportional to 36,022 and 57,878

Step by Step Solution

1. Step 1: Write the proportion equation
   36,022 : 57,878 = 57,878 : x
2. Step 2: Convert to fraction form
   36,022/57,878 = 57,878/x
3. Step 3: Cross multiply
   36,022x = 57,878 × 57,878
4. Step 4: Simplify right side
   36,022x = 3,349,862,884
5. Step 5: Solve for x
   x = 3,349,862,884/36,022
6. Step 6: Final answer
   x = 92,994.92