Finding the Third Proportional to 20,946 and 31,055

Step by Step Solution

1. Step 1: Write the proportion equation
   20,946 : 31,055 = 31,055 : x
2. Step 2: Convert to fraction form
   20,946/31,055 = 31,055/x
3. Step 3: Cross multiply
   20,946x = 31,055 × 31,055
4. Step 4: Simplify right side
   20,946x = 964,413,025
5. Step 5: Solve for x
   x = 964,413,025/20,946
6. Step 6: Final answer
   x = 46,042.83