Finding the Third Proportional to 31,749 and 46,642

Step by Step Solution

1. Step 1: Write the proportion equation
   31,749 : 46,642 = 46,642 : x
2. Step 2: Convert to fraction form
   31,749/46,642 = 46,642/x
3. Step 3: Cross multiply
   31,749x = 46,642 × 46,642
4. Step 4: Simplify right side
   31,749x = 2,175,476,164
5. Step 5: Solve for x
   x = 2,175,476,164/31,749
6. Step 6: Final answer
   x = 68,521.09