Finding the Third Proportional to 9,690 and 21,225

Step by Step Solution

1. Step 1: Write the proportion equation
   9,690 : 21,225 = 21,225 : x
2. Step 2: Convert to fraction form
   9,690/21,225 = 21,225/x
3. Step 3: Cross multiply
   9,690x = 21,225 × 21,225
4. Step 4: Simplify right side
   9,690x = 450,500,625
5. Step 5: Solve for x
   x = 450,500,625/9,690
6. Step 6: Final answer
   x = 46,491.29