Finding the Third Proportional to 13,414 and 31,568

Step by Step Solution

1. Step 1: Write the proportion equation
   13,414 : 31,568 = 31,568 : x
2. Step 2: Convert to fraction form
   13,414/31,568 = 31,568/x
3. Step 3: Cross multiply
   13,414x = 31,568 × 31,568
4. Step 4: Simplify right side
   13,414x = 996,538,624
5. Step 5: Solve for x
   x = 996,538,624/13,414
6. Step 6: Final answer
   x = 74,290.94