Finding the Third Proportional to 9,824 and 21,480.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,824 : 21,480.50 = 21,480.50 : x
2. Step 2: Convert to fraction form
   9,824/21,480.50 = 21,480.50/x
3. Step 3: Cross multiply
   9,824x = 21,480.50 × 21,480.50
4. Step 4: Simplify right side
   9,824x = 461,411,880.25
5. Step 5: Solve for x
   x = 461,411,880.25/9,824
6. Step 6: Final answer
   x = 46,967.82