Finding the Third Proportional to 8,516 and 9,164

Step by Step Solution

1. Step 1: Write the proportion equation
   8,516 : 9,164 = 9,164 : x
2. Step 2: Convert to fraction form
   8,516/9,164 = 9,164/x
3. Step 3: Cross multiply
   8,516x = 9,164 × 9,164
4. Step 4: Simplify right side
   8,516x = 83,978,896
5. Step 5: Solve for x
   x = 83,978,896/8,516
6. Step 6: Final answer
   x = 9,861.31