Finding the Third Proportional to 30,864 and 35,472

Step by Step Solution

1. Step 1: Write the proportion equation
   30,864 : 35,472 = 35,472 : x
2. Step 2: Convert to fraction form
   30,864/35,472 = 35,472/x
3. Step 3: Cross multiply
   30,864x = 35,472 × 35,472
4. Step 4: Simplify right side
   30,864x = 1,258,262,784
5. Step 5: Solve for x
   x = 1,258,262,784/30,864
6. Step 6: Final answer
   x = 40,767.98