Finding the Third Proportional to 38,176 and 57,568

Step by Step Solution

1. Step 1: Write the proportion equation
   38,176 : 57,568 = 57,568 : x
2. Step 2: Convert to fraction form
   38,176/57,568 = 57,568/x
3. Step 3: Cross multiply
   38,176x = 57,568 × 57,568
4. Step 4: Simplify right side
   38,176x = 3,314,074,624
5. Step 5: Solve for x
   x = 3,314,074,624/38,176
6. Step 6: Final answer
   x = 86,810.42