Finding the Third Proportional to 32,824 and 72,208

Step by Step Solution

1. Step 1: Write the proportion equation
   32,824 : 72,208 = 72,208 : x
2. Step 2: Convert to fraction form
   32,824/72,208 = 72,208/x
3. Step 3: Cross multiply
   32,824x = 72,208 × 72,208
4. Step 4: Simplify right side
   32,824x = 5,213,995,264
5. Step 5: Solve for x
   x = 5,213,995,264/32,824
6. Step 6: Final answer
   x = 158,847.04