Finding the Third Proportional to 42,934 and 65,681

Step by Step Solution

1. Step 1: Write the proportion equation
   42,934 : 65,681 = 65,681 : x
2. Step 2: Convert to fraction form
   42,934/65,681 = 65,681/x
3. Step 3: Cross multiply
   42,934x = 65,681 × 65,681
4. Step 4: Simplify right side
   42,934x = 4,313,993,761
5. Step 5: Solve for x
   x = 4,313,993,761/42,934
6. Step 6: Final answer
   x = 100,479.66