Finding the Third Proportional to 30,826 and 47,824

Step by Step Solution

1. Step 1: Write the proportion equation
   30,826 : 47,824 = 47,824 : x
2. Step 2: Convert to fraction form
   30,826/47,824 = 47,824/x
3. Step 3: Cross multiply
   30,826x = 47,824 × 47,824
4. Step 4: Simplify right side
   30,826x = 2,287,134,976
5. Step 5: Solve for x
   x = 2,287,134,976/30,826
6. Step 6: Final answer
   x = 74,195.00