Finding the Third Proportional to 27,968 and 42,218

Step by Step Solution

1. Step 1: Write the proportion equation
   27,968 : 42,218 = 42,218 : x
2. Step 2: Convert to fraction form
   27,968/42,218 = 42,218/x
3. Step 3: Cross multiply
   27,968x = 42,218 × 42,218
4. Step 4: Simplify right side
   27,968x = 1,782,359,524
5. Step 5: Solve for x
   x = 1,782,359,524/27,968
6. Step 6: Final answer
   x = 63,728.53