Finding the Third Proportional to 10,098 and 21,584

Step by Step Solution

1. Step 1: Write the proportion equation
   10,098 : 21,584 = 21,584 : x
2. Step 2: Convert to fraction form
   10,098/21,584 = 21,584/x
3. Step 3: Cross multiply
   10,098x = 21,584 × 21,584
4. Step 4: Simplify right side
   10,098x = 465,869,056
5. Step 5: Solve for x
   x = 465,869,056/10,098
6. Step 6: Final answer
   x = 46,134.78