Finding the Third Proportional to 10,828 and 19,352

Step by Step Solution

1. Step 1: Write the proportion equation
   10,828 : 19,352 = 19,352 : x
2. Step 2: Convert to fraction form
   10,828/19,352 = 19,352/x
3. Step 3: Cross multiply
   10,828x = 19,352 × 19,352
4. Step 4: Simplify right side
   10,828x = 374,499,904
5. Step 5: Solve for x
   x = 374,499,904/10,828
6. Step 6: Final answer
   x = 34,586.25