Finding the Third Proportional to 10,377 and 16,095

Step by Step Solution

1. Step 1: Write the proportion equation
   10,377 : 16,095 = 16,095 : x
2. Step 2: Convert to fraction form
   10,377/16,095 = 16,095/x
3. Step 3: Cross multiply
   10,377x = 16,095 × 16,095
4. Step 4: Simplify right side
   10,377x = 259,049,025
5. Step 5: Solve for x
   x = 259,049,025/10,377
6. Step 6: Final answer
   x = 24,963.77