Finding the Third Proportional to 32,824 and 70,823

Step by Step Solution

1. Step 1: Write the proportion equation
   32,824 : 70,823 = 70,823 : x
2. Step 2: Convert to fraction form
   32,824/70,823 = 70,823/x
3. Step 3: Cross multiply
   32,824x = 70,823 × 70,823
4. Step 4: Simplify right side
   32,824x = 5,015,897,329
5. Step 5: Solve for x
   x = 5,015,897,329/32,824
6. Step 6: Final answer
   x = 152,811.89