Finding the Third Proportional to 10,585.69 and 22,897.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.69 : 22,897.69 = 22,897.69 : x
2. Step 2: Convert to fraction form
   10,585.69/22,897.69 = 22,897.69/x
3. Step 3: Cross multiply
   10,585.69x = 22,897.69 × 22,897.69
4. Step 4: Simplify right side
   10,585.69x = 524,304,092.85
5. Step 5: Solve for x
   x = 524,304,092.85/10,585.69
6. Step 6: Final answer
   x = 49,529.53