Finding the Third Proportional to 42,666 and 57,087

Step by Step Solution

1. Step 1: Write the proportion equation
   42,666 : 57,087 = 57,087 : x
2. Step 2: Convert to fraction form
   42,666/57,087 = 57,087/x
3. Step 3: Cross multiply
   42,666x = 57,087 × 57,087
4. Step 4: Simplify right side
   42,666x = 3,258,925,569
5. Step 5: Solve for x
   x = 3,258,925,569/42,666
6. Step 6: Final answer
   x = 76,382.26