Finding the Third Proportional to 9,160 and 10,168

Step by Step Solution

1. Step 1: Write the proportion equation
   9,160 : 10,168 = 10,168 : x
2. Step 2: Convert to fraction form
   9,160/10,168 = 10,168/x
3. Step 3: Cross multiply
   9,160x = 10,168 × 10,168
4. Step 4: Simplify right side
   9,160x = 103,388,224
5. Step 5: Solve for x
   x = 103,388,224/9,160
6. Step 6: Final answer
   x = 11,286.92