Finding the Third Proportional to 21,676 and 31,688

Step by Step Solution

1. Step 1: Write the proportion equation
   21,676 : 31,688 = 31,688 : x
2. Step 2: Convert to fraction form
   21,676/31,688 = 31,688/x
3. Step 3: Cross multiply
   21,676x = 31,688 × 31,688
4. Step 4: Simplify right side
   21,676x = 1,004,129,344
5. Step 5: Solve for x
   x = 1,004,129,344/21,676
6. Step 6: Final answer
   x = 46,324.48