Finding the Third Proportional to 12,416 and 19,786

Step by Step Solution

1. Step 1: Write the proportion equation
   12,416 : 19,786 = 19,786 : x
2. Step 2: Convert to fraction form
   12,416/19,786 = 19,786/x
3. Step 3: Cross multiply
   12,416x = 19,786 × 19,786
4. Step 4: Simplify right side
   12,416x = 391,485,796
5. Step 5: Solve for x
   x = 391,485,796/12,416
6. Step 6: Final answer
   x = 31,530.75