Finding the Third Proportional to 15,624 and 23,456

Step by Step Solution

1. Step 1: Write the proportion equation
   15,624 : 23,456 = 23,456 : x
2. Step 2: Convert to fraction form
   15,624/23,456 = 23,456/x
3. Step 3: Cross multiply
   15,624x = 23,456 × 23,456
4. Step 4: Simplify right side
   15,624x = 550,183,936
5. Step 5: Solve for x
   x = 550,183,936/15,624
6. Step 6: Final answer
   x = 35,214.03