Finding the Third Proportional to 37,326 and 80,670

Step by Step Solution

1. Step 1: Write the proportion equation
   37,326 : 80,670 = 80,670 : x
2. Step 2: Convert to fraction form
   37,326/80,670 = 80,670/x
3. Step 3: Cross multiply
   37,326x = 80,670 × 80,670
4. Step 4: Simplify right side
   37,326x = 6,507,648,900
5. Step 5: Solve for x
   x = 6,507,648,900/37,326
6. Step 6: Final answer
   x = 174,346.27