Finding the Third Proportional to 42,144 and 65,040

Step by Step Solution

1. Step 1: Write the proportion equation
   42,144 : 65,040 = 65,040 : x
2. Step 2: Convert to fraction form
   42,144/65,040 = 65,040/x
3. Step 3: Cross multiply
   42,144x = 65,040 × 65,040
4. Step 4: Simplify right side
   42,144x = 4,230,201,600
5. Step 5: Solve for x
   x = 4,230,201,600/42,144
6. Step 6: Final answer
   x = 100,374.94