Finding the Third Proportional to 30,740 and 46,992

Step by Step Solution

1. Step 1: Write the proportion equation
   30,740 : 46,992 = 46,992 : x
2. Step 2: Convert to fraction form
   30,740/46,992 = 46,992/x
3. Step 3: Cross multiply
   30,740x = 46,992 × 46,992
4. Step 4: Simplify right side
   30,740x = 2,208,248,064
5. Step 5: Solve for x
   x = 2,208,248,064/30,740
6. Step 6: Final answer
   x = 71,836.31