Finding the Third Proportional to 10,882 and 23,186

Step by Step Solution

1. Step 1: Write the proportion equation
   10,882 : 23,186 = 23,186 : x
2. Step 2: Convert to fraction form
   10,882/23,186 = 23,186/x
3. Step 3: Cross multiply
   10,882x = 23,186 × 23,186
4. Step 4: Simplify right side
   10,882x = 537,590,596
5. Step 5: Solve for x
   x = 537,590,596/10,882
6. Step 6: Final answer
   x = 49,401.82