Finding the Third Proportional to 12,616 and 13,768

Step by Step Solution

1. Step 1: Write the proportion equation
   12,616 : 13,768 = 13,768 : x
2. Step 2: Convert to fraction form
   12,616/13,768 = 13,768/x
3. Step 3: Cross multiply
   12,616x = 13,768 × 13,768
4. Step 4: Simplify right side
   12,616x = 189,557,824
5. Step 5: Solve for x
   x = 189,557,824/12,616
6. Step 6: Final answer
   x = 15,025.19