Finding the Third Proportional to 9,382 and 10,858

Step by Step Solution

1. Step 1: Write the proportion equation
   9,382 : 10,858 = 10,858 : x
2. Step 2: Convert to fraction form
   9,382/10,858 = 10,858/x
3. Step 3: Cross multiply
   9,382x = 10,858 × 10,858
4. Step 4: Simplify right side
   9,382x = 117,896,164
5. Step 5: Solve for x
   x = 117,896,164/9,382
6. Step 6: Final answer
   x = 12,566.21