Finding the Third Proportional to 9,510 and 21,205.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,510 : 21,205.50 = 21,205.50 : x
2. Step 2: Convert to fraction form
   9,510/21,205.50 = 21,205.50/x
3. Step 3: Cross multiply
   9,510x = 21,205.50 × 21,205.50
4. Step 4: Simplify right side
   9,510x = 449,673,230.25
5. Step 5: Solve for x
   x = 449,673,230.25/9,510
6. Step 6: Final answer
   x = 47,284.25