Finding the Third Proportional to 30,735 and 46,384

Step by Step Solution

1. Step 1: Write the proportion equation
   30,735 : 46,384 = 46,384 : x
2. Step 2: Convert to fraction form
   30,735/46,384 = 46,384/x
3. Step 3: Cross multiply
   30,735x = 46,384 × 46,384
4. Step 4: Simplify right side
   30,735x = 2,151,475,456
5. Step 5: Solve for x
   x = 2,151,475,456/30,735
6. Step 6: Final answer
   x = 70,000.83