Finding the Third Proportional to 10,585.69 and 24,841.69

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585.69 : 24,841.69 = 24,841.69 : x
2. Step 2: Convert to fraction form
   10,585.69/24,841.69 = 24,841.69/x
3. Step 3: Cross multiply
   10,585.69x = 24,841.69 × 24,841.69
4. Step 4: Simplify right side
   10,585.69x = 617,109,437.85
5. Step 5: Solve for x
   x = 617,109,437.85/10,585.69
6. Step 6: Final answer
   x = 58,296.59