Finding the Third Proportional to 37,678 and 58,378

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678 : 58,378 = 58,378 : x
2. Step 2: Convert to fraction form
   37,678/58,378 = 58,378/x
3. Step 3: Cross multiply
   37,678x = 58,378 × 58,378
4. Step 4: Simplify right side
   37,678x = 3,407,990,884
5. Step 5: Solve for x
   x = 3,407,990,884/37,678
6. Step 6: Final answer
   x = 90,450.42