Finding the Third Proportional to 9,082.69 and 12,205.69

Step by Step Solution

1. Step 1: Write the proportion equation
   9,082.69 : 12,205.69 = 12,205.69 : x
2. Step 2: Convert to fraction form
   9,082.69/12,205.69 = 12,205.69/x
3. Step 3: Cross multiply
   9,082.69x = 12,205.69 × 12,205.69
4. Step 4: Simplify right side
   9,082.69x = 148,978,807.35
5. Step 5: Solve for x
   x = 148,978,807.35/9,082.69
6. Step 6: Final answer
   x = 16,402.50