Finding the Third Proportional to 10,800 and 17,352

Step by Step Solution

1. Step 1: Write the proportion equation
   10,800 : 17,352 = 17,352 : x
2. Step 2: Convert to fraction form
   10,800/17,352 = 17,352/x
3. Step 3: Cross multiply
   10,800x = 17,352 × 17,352
4. Step 4: Simplify right side
   10,800x = 301,091,904
5. Step 5: Solve for x
   x = 301,091,904/10,800
6. Step 6: Final answer
   x = 27,878.88