Finding the Third Proportional to 42,012 and 65,049.75

Step by Step Solution

1. Step 1: Write the proportion equation
   42,012 : 65,049.75 = 65,049.75 : x
2. Step 2: Convert to fraction form
   42,012/65,049.75 = 65,049.75/x
3. Step 3: Cross multiply
   42,012x = 65,049.75 × 65,049.75
4. Step 4: Simplify right side
   42,012x = 4,231,469,975.06
5. Step 5: Solve for x
   x = 4,231,469,975.06/42,012
6. Step 6: Final answer
   x = 100,720.51