Finding the Third Proportional to 27,006 and 42,729

Step by Step Solution

1. Step 1: Write the proportion equation
   27,006 : 42,729 = 42,729 : x
2. Step 2: Convert to fraction form
   27,006/42,729 = 42,729/x
3. Step 3: Cross multiply
   27,006x = 42,729 × 42,729
4. Step 4: Simplify right side
   27,006x = 1,825,767,441
5. Step 5: Solve for x
   x = 1,825,767,441/27,006
6. Step 6: Final answer
   x = 67,605.99