Finding the Third Proportional to 42,684 and 66,960

Step by Step Solution

1. Step 1: Write the proportion equation
   42,684 : 66,960 = 66,960 : x
2. Step 2: Convert to fraction form
   42,684/66,960 = 66,960/x
3. Step 3: Cross multiply
   42,684x = 66,960 × 66,960
4. Step 4: Simplify right side
   42,684x = 4,483,641,600
5. Step 5: Solve for x
   x = 4,483,641,600/42,684
6. Step 6: Final answer
   x = 105,042.68