Finding the Third Proportional to 27,664 and 57,568

Step by Step Solution

1. Step 1: Write the proportion equation
   27,664 : 57,568 = 57,568 : x
2. Step 2: Convert to fraction form
   27,664/57,568 = 57,568/x
3. Step 3: Cross multiply
   27,664x = 57,568 × 57,568
4. Step 4: Simplify right side
   27,664x = 3,314,074,624
5. Step 5: Solve for x
   x = 3,314,074,624/27,664
6. Step 6: Final answer
   x = 119,797.38