Finding the Third Proportional to 31,824 and 47,496

Step by Step Solution

1. Step 1: Write the proportion equation
   31,824 : 47,496 = 47,496 : x
2. Step 2: Convert to fraction form
   31,824/47,496 = 47,496/x
3. Step 3: Cross multiply
   31,824x = 47,496 × 47,496
4. Step 4: Simplify right side
   31,824x = 2,255,870,016
5. Step 5: Solve for x
   x = 2,255,870,016/31,824
6. Step 6: Final answer
   x = 70,885.81