Finding the Third Proportional to 7,138 and 10,145

Step by Step Solution

1. Step 1: Write the proportion equation
   7,138 : 10,145 = 10,145 : x
2. Step 2: Convert to fraction form
   7,138/10,145 = 10,145/x
3. Step 3: Cross multiply
   7,138x = 10,145 × 10,145
4. Step 4: Simplify right side
   7,138x = 102,921,025
5. Step 5: Solve for x
   x = 102,921,025/7,138
6. Step 6: Final answer
   x = 14,418.75