Finding the Third Proportional to 9,782 and 10,781

Step by Step Solution

1. Step 1: Write the proportion equation
   9,782 : 10,781 = 10,781 : x
2. Step 2: Convert to fraction form
   9,782/10,781 = 10,781/x
3. Step 3: Cross multiply
   9,782x = 10,781 × 10,781
4. Step 4: Simplify right side
   9,782x = 116,229,961
5. Step 5: Solve for x
   x = 116,229,961/9,782
6. Step 6: Final answer
   x = 11,882.02