Finding the Third Proportional to 2,552 and 5,584

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552 : 5,584 = 5,584 : x
2. Step 2: Convert to fraction form
   2,552/5,584 = 5,584/x
3. Step 3: Cross multiply
   2,552x = 5,584 × 5,584
4. Step 4: Simplify right side
   2,552x = 31,181,056
5. Step 5: Solve for x
   x = 31,181,056/2,552
6. Step 6: Final answer
   x = 12,218.28