Finding the Third Proportional to 4,490 and 10,585

Step by Step Solution

1. Step 1: Write the proportion equation
   4,490 : 10,585 = 10,585 : x
2. Step 2: Convert to fraction form
   4,490/10,585 = 10,585/x
3. Step 3: Cross multiply
   4,490x = 10,585 × 10,585
4. Step 4: Simplify right side
   4,490x = 112,042,225
5. Step 5: Solve for x
   x = 112,042,225/4,490
6. Step 6: Final answer
   x = 24,953.72