Finding the Third Proportional to 34,644 and 74,824

Step by Step Solution

1. Step 1: Write the proportion equation
   34,644 : 74,824 = 74,824 : x
2. Step 2: Convert to fraction form
   34,644/74,824 = 74,824/x
3. Step 3: Cross multiply
   34,644x = 74,824 × 74,824
4. Step 4: Simplify right side
   34,644x = 5,598,630,976
5. Step 5: Solve for x
   x = 5,598,630,976/34,644
6. Step 6: Final answer
   x = 161,604.64