Finding the Third Proportional to 27,180 and 42,009

Step by Step Solution

1. Step 1: Write the proportion equation
   27,180 : 42,009 = 42,009 : x
2. Step 2: Convert to fraction form
   27,180/42,009 = 42,009/x
3. Step 3: Cross multiply
   27,180x = 42,009 × 42,009
4. Step 4: Simplify right side
   27,180x = 1,764,756,081
5. Step 5: Solve for x
   x = 1,764,756,081/27,180
6. Step 6: Final answer
   x = 64,928.48