Finding the Third Proportional to 10,496 and 15,036

Step by Step Solution

1. Step 1: Write the proportion equation
   10,496 : 15,036 = 15,036 : x
2. Step 2: Convert to fraction form
   10,496/15,036 = 15,036/x
3. Step 3: Cross multiply
   10,496x = 15,036 × 15,036
4. Step 4: Simplify right side
   10,496x = 226,081,296
5. Step 5: Solve for x
   x = 226,081,296/10,496
6. Step 6: Final answer
   x = 21,539.76