Finding the Third Proportional to 2,384 and 5,585

Step by Step Solution

1. Step 1: Write the proportion equation
   2,384 : 5,585 = 5,585 : x
2. Step 2: Convert to fraction form
   2,384/5,585 = 5,585/x
3. Step 3: Cross multiply
   2,384x = 5,585 × 5,585
4. Step 4: Simplify right side
   2,384x = 31,192,225
5. Step 5: Solve for x
   x = 31,192,225/2,384
6. Step 6: Final answer
   x = 13,083.99