Finding the Third Proportional to 9,012 and 10,164

Step by Step Solution

1. Step 1: Write the proportion equation
   9,012 : 10,164 = 10,164 : x
2. Step 2: Convert to fraction form
   9,012/10,164 = 10,164/x
3. Step 3: Cross multiply
   9,012x = 10,164 × 10,164
4. Step 4: Simplify right side
   9,012x = 103,306,896
5. Step 5: Solve for x
   x = 103,306,896/9,012
6. Step 6: Final answer
   x = 11,463.26