Finding the Third Proportional to 12,800 and 17,584

Step by Step Solution

1. Step 1: Write the proportion equation
   12,800 : 17,584 = 17,584 : x
2. Step 2: Convert to fraction form
   12,800/17,584 = 17,584/x
3. Step 3: Cross multiply
   12,800x = 17,584 × 17,584
4. Step 4: Simplify right side
   12,800x = 309,197,056
5. Step 5: Solve for x
   x = 309,197,056/12,800
6. Step 6: Final answer
   x = 24,156.02