Finding the Third Proportional to 42,378 and 62,843

Step by Step Solution

1. Step 1: Write the proportion equation
   42,378 : 62,843 = 62,843 : x
2. Step 2: Convert to fraction form
   42,378/62,843 = 62,843/x
3. Step 3: Cross multiply
   42,378x = 62,843 × 62,843
4. Step 4: Simplify right side
   42,378x = 3,949,242,649
5. Step 5: Solve for x
   x = 3,949,242,649/42,378
6. Step 6: Final answer
   x = 93,190.87