Finding the Third Proportional to 46,448 and 70,824

Step by Step Solution

1. Step 1: Write the proportion equation
   46,448 : 70,824 = 70,824 : x
2. Step 2: Convert to fraction form
   46,448/70,824 = 70,824/x
3. Step 3: Cross multiply
   46,448x = 70,824 × 70,824
4. Step 4: Simplify right side
   46,448x = 5,016,038,976
5. Step 5: Solve for x
   x = 5,016,038,976/46,448
6. Step 6: Final answer
   x = 107,992.57