Finding the Third Proportional to 31,824 and 46,752

Step by Step Solution

1. Step 1: Write the proportion equation
   31,824 : 46,752 = 46,752 : x
2. Step 2: Convert to fraction form
   31,824/46,752 = 46,752/x
3. Step 3: Cross multiply
   31,824x = 46,752 × 46,752
4. Step 4: Simplify right side
   31,824x = 2,185,749,504
5. Step 5: Solve for x
   x = 2,185,749,504/31,824
6. Step 6: Final answer
   x = 68,682.43