Finding the Third Proportional to 10,584 and 22,538

Step by Step Solution

1. Step 1: Write the proportion equation
   10,584 : 22,538 = 22,538 : x
2. Step 2: Convert to fraction form
   10,584/22,538 = 22,538/x
3. Step 3: Cross multiply
   10,584x = 22,538 × 22,538
4. Step 4: Simplify right side
   10,584x = 507,961,444
5. Step 5: Solve for x
   x = 507,961,444/10,584
6. Step 6: Final answer
   x = 47,993.33