Finding the Third Proportional to 37,734 and 78,568

Step by Step Solution

1. Step 1: Write the proportion equation
   37,734 : 78,568 = 78,568 : x
2. Step 2: Convert to fraction form
   37,734/78,568 = 78,568/x
3. Step 3: Cross multiply
   37,734x = 78,568 × 78,568
4. Step 4: Simplify right side
   37,734x = 6,172,930,624
5. Step 5: Solve for x
   x = 6,172,930,624/37,734
6. Step 6: Final answer
   x = 163,590.68