Finding the Third Proportional to 9,096.82 and 14,465.37

Step by Step Solution

1. Step 1: Write the proportion equation
   9,096.82 : 14,465.37 = 14,465.37 : x
2. Step 2: Convert to fraction form
   9,096.82/14,465.37 = 14,465.37/x
3. Step 3: Cross multiply
   9,096.82x = 14,465.37 × 14,465.37
4. Step 4: Simplify right side
   9,096.82x = 209,246,847.87
5. Step 5: Solve for x
   x = 209,246,847.87/9,096.82
6. Step 6: Final answer
   x = 23,002.20