Finding the Third Proportional to 31,760 and 46,722

Step by Step Solution

1. Step 1: Write the proportion equation
   31,760 : 46,722 = 46,722 : x
2. Step 2: Convert to fraction form
   31,760/46,722 = 46,722/x
3. Step 3: Cross multiply
   31,760x = 46,722 × 46,722
4. Step 4: Simplify right side
   31,760x = 2,182,945,284
5. Step 5: Solve for x
   x = 2,182,945,284/31,760
6. Step 6: Final answer
   x = 68,732.53