Finding the Third Proportional to 34,009 and 73,666

Step by Step Solution

1. Step 1: Write the proportion equation
   34,009 : 73,666 = 73,666 : x
2. Step 2: Convert to fraction form
   34,009/73,666 = 73,666/x
3. Step 3: Cross multiply
   34,009x = 73,666 × 73,666
4. Step 4: Simplify right side
   34,009x = 5,426,679,556
5. Step 5: Solve for x
   x = 5,426,679,556/34,009
6. Step 6: Final answer
   x = 159,565.98