Finding the Third Proportional to 8,116 and 10,614

Step by Step Solution

1. Step 1: Write the proportion equation
   8,116 : 10,614 = 10,614 : x
2. Step 2: Convert to fraction form
   8,116/10,614 = 10,614/x
3. Step 3: Cross multiply
   8,116x = 10,614 × 10,614
4. Step 4: Simplify right side
   8,116x = 112,656,996
5. Step 5: Solve for x
   x = 112,656,996/8,116
6. Step 6: Final answer
   x = 13,880.85