Finding the Third Proportional to 6,519 and 12,366

Step by Step Solution

1. Step 1: Write the proportion equation
   6,519 : 12,366 = 12,366 : x
2. Step 2: Convert to fraction form
   6,519/12,366 = 12,366/x
3. Step 3: Cross multiply
   6,519x = 12,366 × 12,366
4. Step 4: Simplify right side
   6,519x = 152,917,956
5. Step 5: Solve for x
   x = 152,917,956/6,519
6. Step 6: Final answer
   x = 23,457.27