Finding the Third Proportional to 34,982 and 75,568

Step by Step Solution

1. Step 1: Write the proportion equation
   34,982 : 75,568 = 75,568 : x
2. Step 2: Convert to fraction form
   34,982/75,568 = 75,568/x
3. Step 3: Cross multiply
   34,982x = 75,568 × 75,568
4. Step 4: Simplify right side
   34,982x = 5,710,522,624
5. Step 5: Solve for x
   x = 5,710,522,624/34,982
6. Step 6: Final answer
   x = 163,241.74