Finding the Third Proportional to 11,584.27 and 22,006.69

Step by Step Solution

1. Step 1: Write the proportion equation
   11,584.27 : 22,006.69 = 22,006.69 : x
2. Step 2: Convert to fraction form
   11,584.27/22,006.69 = 22,006.69/x
3. Step 3: Cross multiply
   11,584.27x = 22,006.69 × 22,006.69
4. Step 4: Simplify right side
   11,584.27x = 484,294,294.72
5. Step 5: Solve for x
   x = 484,294,294.72/11,584.27
6. Step 6: Final answer
   x = 41,806.21