Finding the Third Proportional to 31,818 and 46,753

Step by Step Solution

1. Step 1: Write the proportion equation
   31,818 : 46,753 = 46,753 : x
2. Step 2: Convert to fraction form
   31,818/46,753 = 46,753/x
3. Step 3: Cross multiply
   31,818x = 46,753 × 46,753
4. Step 4: Simplify right side
   31,818x = 2,185,843,009
5. Step 5: Solve for x
   x = 2,185,843,009/31,818
6. Step 6: Final answer
   x = 68,698.32