Finding the Third Proportional to 9,076.50 and 21,584.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,076.50 : 21,584.25 = 21,584.25 : x
2. Step 2: Convert to fraction form
   9,076.50/21,584.25 = 21,584.25/x
3. Step 3: Cross multiply
   9,076.50x = 21,584.25 × 21,584.25
4. Step 4: Simplify right side
   9,076.50x = 465,879,848.06
5. Step 5: Solve for x
   x = 465,879,848.06/9,076.50
6. Step 6: Final answer
   x = 51,328.14