Finding the Third Proportional to 15,200 and 17,456

Step by Step Solution

1. Step 1: Write the proportion equation
   15,200 : 17,456 = 17,456 : x
2. Step 2: Convert to fraction form
   15,200/17,456 = 17,456/x
3. Step 3: Cross multiply
   15,200x = 17,456 × 17,456
4. Step 4: Simplify right side
   15,200x = 304,711,936
5. Step 5: Solve for x
   x = 304,711,936/15,200
6. Step 6: Final answer
   x = 20,046.84