Finding the Third Proportional to 30,724 and 46,906

Step by Step Solution

1. Step 1: Write the proportion equation
   30,724 : 46,906 = 46,906 : x
2. Step 2: Convert to fraction form
   30,724/46,906 = 46,906/x
3. Step 3: Cross multiply
   30,724x = 46,906 × 46,906
4. Step 4: Simplify right side
   30,724x = 2,200,172,836
5. Step 5: Solve for x
   x = 2,200,172,836/30,724
6. Step 6: Final answer
   x = 71,610.89