Finding the Third Proportional to 21,152 and 31,676

Step by Step Solution

1. Step 1: Write the proportion equation
   21,152 : 31,676 = 31,676 : x
2. Step 2: Convert to fraction form
   21,152/31,676 = 31,676/x
3. Step 3: Cross multiply
   21,152x = 31,676 × 31,676
4. Step 4: Simplify right side
   21,152x = 1,003,368,976
5. Step 5: Solve for x
   x = 1,003,368,976/21,152
6. Step 6: Final answer
   x = 47,436.13