Finding the Third Proportional to 30,648 and 46,864

Step by Step Solution

1. Step 1: Write the proportion equation
   30,648 : 46,864 = 46,864 : x
2. Step 2: Convert to fraction form
   30,648/46,864 = 46,864/x
3. Step 3: Cross multiply
   30,648x = 46,864 × 46,864
4. Step 4: Simplify right side
   30,648x = 2,196,234,496
5. Step 5: Solve for x
   x = 2,196,234,496/30,648
6. Step 6: Final answer
   x = 71,659.96