Finding the Third Proportional to 8,931 and 10,191

Step by Step Solution

1. Step 1: Write the proportion equation
   8,931 : 10,191 = 10,191 : x
2. Step 2: Convert to fraction form
   8,931/10,191 = 10,191/x
3. Step 3: Cross multiply
   8,931x = 10,191 × 10,191
4. Step 4: Simplify right side
   8,931x = 103,856,481
5. Step 5: Solve for x
   x = 103,856,481/8,931
6. Step 6: Final answer
   x = 11,628.76