Finding the Third Proportional to 9,168.19 and 9,856.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,168.19 : 9,856.69 = 9,856.69 : x
2. Step 2: Convert to fraction form
   9,168.19/9,856.69 = 9,856.69/x
3. Step 3: Cross multiply
   9,168.19x = 9,856.69 × 9,856.69
4. Step 4: Simplify right side
   9,168.19x = 97,154,288.47
5. Step 5: Solve for x
   x = 97,154,288.47/9,168.19
6. Step 6: Final answer
   x = 10,596.89