Finding the Third Proportional to 32,824 and 71,666

Step by Step Solution

1. Step 1: Write the proportion equation
   32,824 : 71,666 = 71,666 : x
2. Step 2: Convert to fraction form
   32,824/71,666 = 71,666/x
3. Step 3: Cross multiply
   32,824x = 71,666 × 71,666
4. Step 4: Simplify right side
   32,824x = 5,136,015,556
5. Step 5: Solve for x
   x = 5,136,015,556/32,824
6. Step 6: Final answer
   x = 156,471.35