Finding the Third Proportional to 11,555 and 12,635

Step by Step Solution

1. Step 1: Write the proportion equation
   11,555 : 12,635 = 12,635 : x
2. Step 2: Convert to fraction form
   11,555/12,635 = 12,635/x
3. Step 3: Cross multiply
   11,555x = 12,635 × 12,635
4. Step 4: Simplify right side
   11,555x = 159,643,225
5. Step 5: Solve for x
   x = 159,643,225/11,555
6. Step 6: Final answer
   x = 13,815.94