Finding the Third Proportional to 34,824 and 50,766

Step by Step Solution

1. Step 1: Write the proportion equation
   34,824 : 50,766 = 50,766 : x
2. Step 2: Convert to fraction form
   34,824/50,766 = 50,766/x
3. Step 3: Cross multiply
   34,824x = 50,766 × 50,766
4. Step 4: Simplify right side
   34,824x = 2,577,186,756
5. Step 5: Solve for x
   x = 2,577,186,756/34,824
6. Step 6: Final answer
   x = 74,006.05