Finding the Third Proportional to 27,074 and 42,435

Step by Step Solution

1. Step 1: Write the proportion equation
   27,074 : 42,435 = 42,435 : x
2. Step 2: Convert to fraction form
   27,074/42,435 = 42,435/x
3. Step 3: Cross multiply
   27,074x = 42,435 × 42,435
4. Step 4: Simplify right side
   27,074x = 1,800,729,225
5. Step 5: Solve for x
   x = 1,800,729,225/27,074
6. Step 6: Final answer
   x = 66,511.38