Finding the Third Proportional to 32,824 and 70,320

Step by Step Solution

1. Step 1: Write the proportion equation
   32,824 : 70,320 = 70,320 : x
2. Step 2: Convert to fraction form
   32,824/70,320 = 70,320/x
3. Step 3: Cross multiply
   32,824x = 70,320 × 70,320
4. Step 4: Simplify right side
   32,824x = 4,944,902,400
5. Step 5: Solve for x
   x = 4,944,902,400/32,824
6. Step 6: Final answer
   x = 150,648.99