Finding the Third Proportional to 12,412 and 19,676

Step by Step Solution

1. Step 1: Write the proportion equation
   12,412 : 19,676 = 19,676 : x
2. Step 2: Convert to fraction form
   12,412/19,676 = 19,676/x
3. Step 3: Cross multiply
   12,412x = 19,676 × 19,676
4. Step 4: Simplify right side
   12,412x = 387,144,976
5. Step 5: Solve for x
   x = 387,144,976/12,412
6. Step 6: Final answer
   x = 31,191.18