Finding the Third Proportional to 37,678 and 56,400

Step by Step Solution

1. Step 1: Write the proportion equation
   37,678 : 56,400 = 56,400 : x
2. Step 2: Convert to fraction form
   37,678/56,400 = 56,400/x
3. Step 3: Cross multiply
   37,678x = 56,400 × 56,400
4. Step 4: Simplify right side
   37,678x = 3,180,960,000
5. Step 5: Solve for x
   x = 3,180,960,000/37,678
6. Step 6: Final answer
   x = 84,424.86