Finding the Third Proportional to 42,960 and 65,724

Step by Step Solution

1. Step 1: Write the proportion equation
   42,960 : 65,724 = 65,724 : x
2. Step 2: Convert to fraction form
   42,960/65,724 = 65,724/x
3. Step 3: Cross multiply
   42,960x = 65,724 × 65,724
4. Step 4: Simplify right side
   42,960x = 4,319,644,176
5. Step 5: Solve for x
   x = 4,319,644,176/42,960
6. Step 6: Final answer
   x = 100,550.38