Finding the Third Proportional to 30,740 and 46,390

Step by Step Solution

1. Step 1: Write the proportion equation
   30,740 : 46,390 = 46,390 : x
2. Step 2: Convert to fraction form
   30,740/46,390 = 46,390/x
3. Step 3: Cross multiply
   30,740x = 46,390 × 46,390
4. Step 4: Simplify right side
   30,740x = 2,152,032,100
5. Step 5: Solve for x
   x = 2,152,032,100/30,740
6. Step 6: Final answer
   x = 70,007.55