Finding the Third Proportional to 9,178 and 10,186

Step by Step Solution

1. Step 1: Write the proportion equation
   9,178 : 10,186 = 10,186 : x
2. Step 2: Convert to fraction form
   9,178/10,186 = 10,186/x
3. Step 3: Cross multiply
   9,178x = 10,186 × 10,186
4. Step 4: Simplify right side
   9,178x = 103,754,596
5. Step 5: Solve for x
   x = 103,754,596/9,178
6. Step 6: Final answer
   x = 11,304.71