Finding the Third Proportional to 5,646 and 10,584

Step by Step Solution

1. Step 1: Write the proportion equation
   5,646 : 10,584 = 10,584 : x
2. Step 2: Convert to fraction form
   5,646/10,584 = 10,584/x
3. Step 3: Cross multiply
   5,646x = 10,584 × 10,584
4. Step 4: Simplify right side
   5,646x = 112,021,056
5. Step 5: Solve for x
   x = 112,021,056/5,646
6. Step 6: Final answer
   x = 19,840.78