Finding the Third Proportional to 10,084 and 21,625

Step by Step Solution

1. Step 1: Write the proportion equation
   10,084 : 21,625 = 21,625 : x
2. Step 2: Convert to fraction form
   10,084/21,625 = 21,625/x
3. Step 3: Cross multiply
   10,084x = 21,625 × 21,625
4. Step 4: Simplify right side
   10,084x = 467,640,625
5. Step 5: Solve for x
   x = 467,640,625/10,084
6. Step 6: Final answer
   x = 46,374.52