Finding the Third Proportional to 42,935 and 65,678

Step by Step Solution

1. Step 1: Write the proportion equation
   42,935 : 65,678 = 65,678 : x
2. Step 2: Convert to fraction form
   42,935/65,678 = 65,678/x
3. Step 3: Cross multiply
   42,935x = 65,678 × 65,678
4. Step 4: Simplify right side
   42,935x = 4,313,599,684
5. Step 5: Solve for x
   x = 4,313,599,684/42,935
6. Step 6: Final answer
   x = 100,468.14