Finding the Third Proportional to 31,752 and 46,644

Step by Step Solution

1. Step 1: Write the proportion equation
   31,752 : 46,644 = 46,644 : x
2. Step 2: Convert to fraction form
   31,752/46,644 = 46,644/x
3. Step 3: Cross multiply
   31,752x = 46,644 × 46,644
4. Step 4: Simplify right side
   31,752x = 2,175,662,736
5. Step 5: Solve for x
   x = 2,175,662,736/31,752
6. Step 6: Final answer
   x = 68,520.49