Finding the Third Proportional to 10,574 and 15,456

Step by Step Solution

1. Step 1: Write the proportion equation
   10,574 : 15,456 = 15,456 : x
2. Step 2: Convert to fraction form
   10,574/15,456 = 15,456/x
3. Step 3: Cross multiply
   10,574x = 15,456 × 15,456
4. Step 4: Simplify right side
   10,574x = 238,887,936
5. Step 5: Solve for x
   x = 238,887,936/10,574
6. Step 6: Final answer
   x = 22,592.01