Finding the Third Proportional to 42,678 and 57,103

Step by Step Solution

1. Step 1: Write the proportion equation
   42,678 : 57,103 = 57,103 : x
2. Step 2: Convert to fraction form
   42,678/57,103 = 57,103/x
3. Step 3: Cross multiply
   42,678x = 57,103 × 57,103
4. Step 4: Simplify right side
   42,678x = 3,260,752,609
5. Step 5: Solve for x
   x = 3,260,752,609/42,678
6. Step 6: Final answer
   x = 76,403.59