Finding the Third Proportional to 46,824 and 71,802

Step by Step Solution

1. Step 1: Write the proportion equation
   46,824 : 71,802 = 71,802 : x
2. Step 2: Convert to fraction form
   46,824/71,802 = 71,802/x
3. Step 3: Cross multiply
   46,824x = 71,802 × 71,802
4. Step 4: Simplify right side
   46,824x = 5,155,527,204
5. Step 5: Solve for x
   x = 5,155,527,204/46,824
6. Step 6: Final answer
   x = 110,104.37