Finding the Third Proportional to 31,632 and 74,568

Step by Step Solution

1. Step 1: Write the proportion equation
   31,632 : 74,568 = 74,568 : x
2. Step 2: Convert to fraction form
   31,632/74,568 = 74,568/x
3. Step 3: Cross multiply
   31,632x = 74,568 × 74,568
4. Step 4: Simplify right side
   31,632x = 5,560,386,624
5. Step 5: Solve for x
   x = 5,560,386,624/31,632
6. Step 6: Final answer
   x = 175,783.59