Finding the Third Proportional to 10,436 and 15,288

Step by Step Solution

1. Step 1: Write the proportion equation
   10,436 : 15,288 = 15,288 : x
2. Step 2: Convert to fraction form
   10,436/15,288 = 15,288/x
3. Step 3: Cross multiply
   10,436x = 15,288 × 15,288
4. Step 4: Simplify right side
   10,436x = 233,722,944
5. Step 5: Solve for x
   x = 233,722,944/10,436
6. Step 6: Final answer
   x = 22,395.84