Finding the Third Proportional to 27,137 and 42,015

Step by Step Solution

1. Step 1: Write the proportion equation
   27,137 : 42,015 = 42,015 : x
2. Step 2: Convert to fraction form
   27,137/42,015 = 42,015/x
3. Step 3: Cross multiply
   27,137x = 42,015 × 42,015
4. Step 4: Simplify right side
   27,137x = 1,765,260,225
5. Step 5: Solve for x
   x = 1,765,260,225/27,137
6. Step 6: Final answer
   x = 65,049.94