Finding the Third Proportional to 42,783 and 65,418

Step by Step Solution

1. Step 1: Write the proportion equation
   42,783 : 65,418 = 65,418 : x
2. Step 2: Convert to fraction form
   42,783/65,418 = 65,418/x
3. Step 3: Cross multiply
   42,783x = 65,418 × 65,418
4. Step 4: Simplify right side
   42,783x = 4,279,514,724
5. Step 5: Solve for x
   x = 4,279,514,724/42,783
6. Step 6: Final answer
   x = 100,028.39