Finding the Third Proportional to 31,007 and 46,441

Step by Step Solution

1. Step 1: Write the proportion equation
   31,007 : 46,441 = 46,441 : x
2. Step 2: Convert to fraction form
   31,007/46,441 = 46,441/x
3. Step 3: Cross multiply
   31,007x = 46,441 × 46,441
4. Step 4: Simplify right side
   31,007x = 2,156,766,481
5. Step 5: Solve for x
   x = 2,156,766,481/31,007
6. Step 6: Final answer
   x = 69,557.41