Finding the Third Proportional to 10,585 and 22,844

Step by Step Solution

1. Step 1: Write the proportion equation
   10,585 : 22,844 = 22,844 : x
2. Step 2: Convert to fraction form
   10,585/22,844 = 22,844/x
3. Step 3: Cross multiply
   10,585x = 22,844 × 22,844
4. Step 4: Simplify right side
   10,585x = 521,848,336
5. Step 5: Solve for x
   x = 521,848,336/10,585
6. Step 6: Final answer
   x = 49,300.74