Finding the Third Proportional to 11,366 and 13,004

Step by Step Solution

1. Step 1: Write the proportion equation
   11,366 : 13,004 = 13,004 : x
2. Step 2: Convert to fraction form
   11,366/13,004 = 13,004/x
3. Step 3: Cross multiply
   11,366x = 13,004 × 13,004
4. Step 4: Simplify right side
   11,366x = 169,104,016
5. Step 5: Solve for x
   x = 169,104,016/11,366
6. Step 6: Final answer
   x = 14,878.06