Finding the Third Proportional to 10,788 and 15,852

Step by Step Solution

1. Step 1: Write the proportion equation
   10,788 : 15,852 = 15,852 : x
2. Step 2: Convert to fraction form
   10,788/15,852 = 15,852/x
3. Step 3: Cross multiply
   10,788x = 15,852 × 15,852
4. Step 4: Simplify right side
   10,788x = 251,285,904
5. Step 5: Solve for x
   x = 251,285,904/10,788
6. Step 6: Final answer
   x = 23,293.09