Finding the Third Proportional to 45,674 and 71,666

Step by Step Solution

1. Step 1: Write the proportion equation
   45,674 : 71,666 = 71,666 : x
2. Step 2: Convert to fraction form
   45,674/71,666 = 71,666/x
3. Step 3: Cross multiply
   45,674x = 71,666 × 71,666
4. Step 4: Simplify right side
   45,674x = 5,136,015,556
5. Step 5: Solve for x
   x = 5,136,015,556/45,674
6. Step 6: Final answer
   x = 112,449.44