Finding the Third Proportional to 31,780 and 46,752

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780 : 46,752 = 46,752 : x
2. Step 2: Convert to fraction form
   31,780/46,752 = 46,752/x
3. Step 3: Cross multiply
   31,780x = 46,752 × 46,752
4. Step 4: Simplify right side
   31,780x = 2,185,749,504
5. Step 5: Solve for x
   x = 2,185,749,504/31,780
6. Step 6: Final answer
   x = 68,777.52