Finding the Third Proportional to 10,380 and 13,138

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380 : 13,138 = 13,138 : x
2. Step 2: Convert to fraction form
   10,380/13,138 = 13,138/x
3. Step 3: Cross multiply
   10,380x = 13,138 × 13,138
4. Step 4: Simplify right side
   10,380x = 172,607,044
5. Step 5: Solve for x
   x = 172,607,044/10,380
6. Step 6: Final answer
   x = 16,628.81