Finding the Third Proportional to 10,366 and 12,616

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 12,616 = 12,616 : x
2. Step 2: Convert to fraction form
   10,366/12,616 = 12,616/x
3. Step 3: Cross multiply
   10,366x = 12,616 × 12,616
4. Step 4: Simplify right side
   10,366x = 159,163,456
5. Step 5: Solve for x
   x = 159,163,456/10,366
6. Step 6: Final answer
   x = 15,354.38