Finding the Third Proportional to 4,466.25 and 9,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,466.25 : 9,823.50 = 9,823.50 : x
2. Step 2: Convert to fraction form
   4,466.25/9,823.50 = 9,823.50/x
3. Step 3: Cross multiply
   4,466.25x = 9,823.50 × 9,823.50
4. Step 4: Simplify right side
   4,466.25x = 96,501,152.25
5. Step 5: Solve for x
   x = 96,501,152.25/4,466.25
6. Step 6: Final answer
   x = 21,606.75