Finding the Third Proportional to 27,659 and 42,065

Step by Step Solution

1. Step 1: Write the proportion equation
   27,659 : 42,065 = 42,065 : x
2. Step 2: Convert to fraction form
   27,659/42,065 = 42,065/x
3. Step 3: Cross multiply
   27,659x = 42,065 × 42,065
4. Step 4: Simplify right side
   27,659x = 1,769,464,225
5. Step 5: Solve for x
   x = 1,769,464,225/27,659
6. Step 6: Final answer
   x = 63,974.27