Finding the Third Proportional to 42,072 and 65,144

Step by Step Solution

1. Step 1: Write the proportion equation
   42,072 : 65,144 = 65,144 : x
2. Step 2: Convert to fraction form
   42,072/65,144 = 65,144/x
3. Step 3: Cross multiply
   42,072x = 65,144 × 65,144
4. Step 4: Simplify right side
   42,072x = 4,243,740,736
5. Step 5: Solve for x
   x = 4,243,740,736/42,072
6. Step 6: Final answer
   x = 100,868.53