Finding the Third Proportional to 14,608 and 31,676

Step by Step Solution

1. Step 1: Write the proportion equation
   14,608 : 31,676 = 31,676 : x
2. Step 2: Convert to fraction form
   14,608/31,676 = 31,676/x
3. Step 3: Cross multiply
   14,608x = 31,676 × 31,676
4. Step 4: Simplify right side
   14,608x = 1,003,368,976
5. Step 5: Solve for x
   x = 1,003,368,976/14,608
6. Step 6: Final answer
   x = 68,686.27