Finding the Third Proportional to 31,870 and 46,676

Step by Step Solution

1. Step 1: Write the proportion equation
   31,870 : 46,676 = 46,676 : x
2. Step 2: Convert to fraction form
   31,870/46,676 = 46,676/x
3. Step 3: Cross multiply
   31,870x = 46,676 × 46,676
4. Step 4: Simplify right side
   31,870x = 2,178,648,976
5. Step 5: Solve for x
   x = 2,178,648,976/31,870
6. Step 6: Final answer
   x = 68,360.50