Finding the Third Proportional to 7,828 and 17,456

Step by Step Solution

1. Step 1: Write the proportion equation
   7,828 : 17,456 = 17,456 : x
2. Step 2: Convert to fraction form
   7,828/17,456 = 17,456/x
3. Step 3: Cross multiply
   7,828x = 17,456 × 17,456
4. Step 4: Simplify right side
   7,828x = 304,711,936
5. Step 5: Solve for x
   x = 304,711,936/7,828
6. Step 6: Final answer
   x = 38,925.90