Finding the Third Proportional to 42,960 and 66,144

Step by Step Solution

1. Step 1: Write the proportion equation
   42,960 : 66,144 = 66,144 : x
2. Step 2: Convert to fraction form
   42,960/66,144 = 66,144/x
3. Step 3: Cross multiply
   42,960x = 66,144 × 66,144
4. Step 4: Simplify right side
   42,960x = 4,375,028,736
5. Step 5: Solve for x
   x = 4,375,028,736/42,960
6. Step 6: Final answer
   x = 101,839.59