Finding the Third Proportional to 10,116 and 10,884

Step by Step Solution

1. Step 1: Write the proportion equation
   10,116 : 10,884 = 10,884 : x
2. Step 2: Convert to fraction form
   10,116/10,884 = 10,884/x
3. Step 3: Cross multiply
   10,116x = 10,884 × 10,884
4. Step 4: Simplify right side
   10,116x = 118,461,456
5. Step 5: Solve for x
   x = 118,461,456/10,116
6. Step 6: Final answer
   x = 11,710.31