Finding the Third Proportional to 10,689 and 15,945

Step by Step Solution

1. Step 1: Write the proportion equation
   10,689 : 15,945 = 15,945 : x
2. Step 2: Convert to fraction form
   10,689/15,945 = 15,945/x
3. Step 3: Cross multiply
   10,689x = 15,945 × 15,945
4. Step 4: Simplify right side
   10,689x = 254,243,025
5. Step 5: Solve for x
   x = 254,243,025/10,689
6. Step 6: Final answer
   x = 23,785.48