Finding the Third Proportional to 7,177 and 10,109

Step by Step Solution

1. Step 1: Write the proportion equation
   7,177 : 10,109 = 10,109 : x
2. Step 2: Convert to fraction form
   7,177/10,109 = 10,109/x
3. Step 3: Cross multiply
   7,177x = 10,109 × 10,109
4. Step 4: Simplify right side
   7,177x = 102,191,881
5. Step 5: Solve for x
   x = 102,191,881/7,177
6. Step 6: Final answer
   x = 14,238.80