Finding the Third Proportional to 42,867 and 65,757

Step by Step Solution

1. Step 1: Write the proportion equation
   42,867 : 65,757 = 65,757 : x
2. Step 2: Convert to fraction form
   42,867/65,757 = 65,757/x
3. Step 3: Cross multiply
   42,867x = 65,757 × 65,757
4. Step 4: Simplify right side
   42,867x = 4,323,983,049
5. Step 5: Solve for x
   x = 4,323,983,049/42,867
6. Step 6: Final answer
   x = 100,869.74