Finding the Third Proportional to 31,911 and 45,676

Step by Step Solution

1. Step 1: Write the proportion equation
   31,911 : 45,676 = 45,676 : x
2. Step 2: Convert to fraction form
   31,911/45,676 = 45,676/x
3. Step 3: Cross multiply
   31,911x = 45,676 × 45,676
4. Step 4: Simplify right side
   31,911x = 2,086,296,976
5. Step 5: Solve for x
   x = 2,086,296,976/31,911
6. Step 6: Final answer
   x = 65,378.61