Finding the Third Proportional to 31,568 and 64,224

Step by Step Solution

1. Step 1: Write the proportion equation
   31,568 : 64,224 = 64,224 : x
2. Step 2: Convert to fraction form
   31,568/64,224 = 64,224/x
3. Step 3: Cross multiply
   31,568x = 64,224 × 64,224
4. Step 4: Simplify right side
   31,568x = 4,124,722,176
5. Step 5: Solve for x
   x = 4,124,722,176/31,568
6. Step 6: Final answer
   x = 130,661.50