Finding the Third Proportional to 10,920 and 16,435

Step by Step Solution

1. Step 1: Write the proportion equation
   10,920 : 16,435 = 16,435 : x
2. Step 2: Convert to fraction form
   10,920/16,435 = 16,435/x
3. Step 3: Cross multiply
   10,920x = 16,435 × 16,435
4. Step 4: Simplify right side
   10,920x = 270,109,225
5. Step 5: Solve for x
   x = 270,109,225/10,920
6. Step 6: Final answer
   x = 24,735.28