Finding the Third Proportional to 37,324 and 80,666

Step by Step Solution

1. Step 1: Write the proportion equation
   37,324 : 80,666 = 80,666 : x
2. Step 2: Convert to fraction form
   37,324/80,666 = 80,666/x
3. Step 3: Cross multiply
   37,324x = 80,666 × 80,666
4. Step 4: Simplify right side
   37,324x = 6,507,003,556
5. Step 5: Solve for x
   x = 6,507,003,556/37,324
6. Step 6: Final answer
   x = 174,338.32