Finding the Third Proportional to 32,840 and 71,824

Step by Step Solution

1. Step 1: Write the proportion equation
   32,840 : 71,824 = 71,824 : x
2. Step 2: Convert to fraction form
   32,840/71,824 = 71,824/x
3. Step 3: Cross multiply
   32,840x = 71,824 × 71,824
4. Step 4: Simplify right side
   32,840x = 5,158,686,976
5. Step 5: Solve for x
   x = 5,158,686,976/32,840
6. Step 6: Final answer
   x = 157,085.47