Finding the Third Proportional to 71,568 and 105,162

Step by Step Solution

1. Step 1: Write the proportion equation
   71,568 : 105,162 = 105,162 : x
2. Step 2: Convert to fraction form
   71,568/105,162 = 105,162/x
3. Step 3: Cross multiply
   71,568x = 105,162 × 105,162
4. Step 4: Simplify right side
   71,568x = 11,059,046,244
5. Step 5: Solve for x
   x = 11,059,046,244/71,568
6. Step 6: Final answer
   x = 154,525.01