Finding the Third Proportional to 31,568 and 69,724

Step by Step Solution

1. Step 1: Write the proportion equation
   31,568 : 69,724 = 69,724 : x
2. Step 2: Convert to fraction form
   31,568/69,724 = 69,724/x
3. Step 3: Cross multiply
   31,568x = 69,724 × 69,724
4. Step 4: Simplify right side
   31,568x = 4,861,436,176
5. Step 5: Solve for x
   x = 4,861,436,176/31,568
6. Step 6: Final answer
   x = 153,998.87