Finding the Third Proportional to 20,824 and 45,344

Step by Step Solution

1. Step 1: Write the proportion equation
   20,824 : 45,344 = 45,344 : x
2. Step 2: Convert to fraction form
   20,824/45,344 = 45,344/x
3. Step 3: Cross multiply
   20,824x = 45,344 × 45,344
4. Step 4: Simplify right side
   20,824x = 2,056,078,336
5. Step 5: Solve for x
   x = 2,056,078,336/20,824
6. Step 6: Final answer
   x = 98,735.99