Finding the Third Proportional to 33,476 and 53,824

Step by Step Solution

1. Step 1: Write the proportion equation
   33,476 : 53,824 = 53,824 : x
2. Step 2: Convert to fraction form
   33,476/53,824 = 53,824/x
3. Step 3: Cross multiply
   33,476x = 53,824 × 53,824
4. Step 4: Simplify right side
   33,476x = 2,897,022,976
5. Step 5: Solve for x
   x = 2,897,022,976/33,476
6. Step 6: Final answer
   x = 86,540.30