Finding the Third Proportional to 11,578 and 16,435

Step by Step Solution

1. Step 1: Write the proportion equation
   11,578 : 16,435 = 16,435 : x
2. Step 2: Convert to fraction form
   11,578/16,435 = 16,435/x
3. Step 3: Cross multiply
   11,578x = 16,435 × 16,435
4. Step 4: Simplify right side
   11,578x = 270,109,225
5. Step 5: Solve for x
   x = 270,109,225/11,578
6. Step 6: Final answer
   x = 23,329.52