Finding the Third Proportional to 11,756 and 13,036

Step by Step Solution

1. Step 1: Write the proportion equation
   11,756 : 13,036 = 13,036 : x
2. Step 2: Convert to fraction form
   11,756/13,036 = 13,036/x
3. Step 3: Cross multiply
   11,756x = 13,036 × 13,036
4. Step 4: Simplify right side
   11,756x = 169,937,296
5. Step 5: Solve for x
   x = 169,937,296/11,756
6. Step 6: Final answer
   x = 14,455.37