Finding the Third Proportional to 31,028 and 46,311

Step by Step Solution

1. Step 1: Write the proportion equation
   31,028 : 46,311 = 46,311 : x
2. Step 2: Convert to fraction form
   31,028/46,311 = 46,311/x
3. Step 3: Cross multiply
   31,028x = 46,311 × 46,311
4. Step 4: Simplify right side
   31,028x = 2,144,708,721
5. Step 5: Solve for x
   x = 2,144,708,721/31,028
6. Step 6: Final answer
   x = 69,121.72